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12156247744 = 2631107173331
BaseRepresentation
bin10110101001001000…
…11001111011000000
31011101012010100221221
423110210121323000
5144343444411434
65330130324424
7610146254344
oct132444317300
934335110857
1012156247744
115178980943
122433129714
1311b9640404
14834691624
154b23362b4
hex2d4919ec0

12156247744 has 112 divisors (see below), whose sum is σ = 25355068416. Its totient is φ = 5775897600.

The previous prime is 12156247739. The next prime is 12156247787. The reversal of 12156247744 is 44774265121.

It is a self number, because there is not a number n which added to its sum of digits gives 12156247744.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36725659 + ... + 36725989.

Almost surely, 212156247744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12156247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677534208).

12156247744 is an abundant number, since it is smaller than the sum of its proper divisors (13198820672).

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

12156247744 is a wasteful number, since it uses less digits than its factorization.

12156247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The spelling of 12156247744 in words is "twelve billion, one hundred fifty-six million, two hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 173 214 248 331 346 428 496 662 692 856 992 1324 1384 1712 1984 2648 2768 3317 3424 5296 5363 5536 6634 6848 10261 10592 10726 11072 13268 18511 20522 21184 21452 26536 35417 37022 41044 42904 53072 57263 70834 74044 82088 85808 106144 114526 141668 148088 164176 171616 212288 229052 283336 296176 328352 343232 458104 566672 573841 592352 656704 916208 1097927 1133344 1147682 1184704 1775153 1832416 2195854 2266688 2295364 3550306 3664832 4391708 4590728 6127141 7100612 8783416 9181456 12254282 14201224 17566832 18362912 24508564 28402448 35133664 36725824 49017128 56804896 70267328 98034256 113609792 189941371 196068512 379882742 392137024 759765484 1519530968 3039061936 6078123872 12156247744