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196258491648 = 283337376123
BaseRepresentation
bin1011011011000111101…
…0101110110100000000
3200202120120222100221000
42312301322232310000
511203414133213043
6230054312332000
720115316440252
oct2666172566400
9622516870830
10196258491648
117626189063a
12320526a4000
13156791242cb
1496db217cd2
155189c5e2d3
hex2db1eaed00

196258491648 has 144 divisors (see below), whose sum is σ = 581934485440. Its totient is φ = 65243252736.

The previous prime is 196258491641. The next prime is 196258491661. The reversal of 196258491648 is 846194852691.

196258491648 is a `hidden beast` number, since 1 + 9 + 6 + 2 + 584 + 9 + 1 + 6 + 48 = 666.

196258491648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196258491641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540115 + ... + 2616237.

Almost surely, 2196258491648 is an apocalyptic number.

196258491648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196258491648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290967242720).

196258491648 is an abundant number, since it is smaller than the sum of its proper divisors (385675993792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196258491648 is an equidigital number, since it uses as much as digits as its factorization.

196258491648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76521 (or 76501 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 196258491648 in words is "one hundred ninety-six billion, two hundred fifty-eight million, four hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 373 384 432 576 746 768 864 1119 1152 1492 1728 2238 2304 2984 3357 3456 4476 5968 6714 6912 8952 10071 11936 13428 17904 20142 23872 26856 35808 40284 47744 53712 71616 76123 80568 95488 107424 143232 152246 161136 214848 228369 286464 304492 322272 429696 456738 608984 644544 685107 859392 913476 1217968 1289088 1370214 1826952 2055321 2435936 2578176 2740428 3653904 4110642 4871872 5480856 7307808 8221284 9743744 10961712 14615616 16442568 19487488 21923424 28393879 29231232 32885136 43846848 56787758 58462464 65770272 85181637 87693696 113575516 131540544 170363274 175387392 227151032 255544911 263081088 340726548 454302064 511089822 526162176 681453096 766634733 908604128 1022179644 1362906192 1533269466 1817208256 2044359288 2725812384 3066538932 3634416512 4088718576 5451624768 6133077864 7268833024 8177437152 10903249536 12266155728 16354874304 21806499072 24532311456 32709748608 49064622912 65419497216 98129245824 196258491648