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200503677696 = 283761611411
BaseRepresentation
bin1011101010111011110…
…0110101001100000000
3201011112110001011101220
42322232330311030000
511241112420141241
6232035441355040
720325445066050
oct2725674651400
9634473034356
10200503677696
117804010a763
1232a38338a80
1315ba479120a
1499c0d53560
1553377b7166
hex2eaef35300

200503677696 has 144 divisors (see below), whose sum is σ = 619864159488. Its totient is φ = 56347545600.

The previous prime is 200503677617. The next prime is 200503677707. The reversal of 200503677696 is 696776305002.

200503677696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 22231 + ... + 633641.

Almost surely, 2200503677696 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 200503677696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309932079744).

200503677696 is an abundant number, since it is smaller than the sum of its proper divisors (419360481792).

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

200503677696 is an equidigital number, since it uses as much as digits as its factorization.

200503677696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611498 (or 611484 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 200503677696 in words is "two hundred billion, five hundred three million, six hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 427 448 488 672 732 768 854 896 976 1281 1344 1464 1708 1792 1952 2562 2688 2928 3416 3904 5124 5376 5856 6832 7808 10248 11712 13664 15616 20496 23424 27328 40992 46848 54656 81984 109312 163968 327936 611411 1222822 1834233 2445644 3668466 4279877 4891288 7336932 8559754 9782576 12839631 14673864 17119508 19565152 25679262 29347728 34239016 37296071 39130304 51358524 58695456 68478032 74592142 78260608 102717048 111888213 117390912 136956064 149184284 156521216 205434096 223776426 234781824 261072497 273912128 298368568 410868192 447552852 469563648 522144994 547824256 596737136 783217491 821736384 895105704 1044289988 1095648512 1193474272 1566434982 1643472768 1790211408 2088579976 2386948544 3132869964 3286945536 3580422816 4177159952 4773897088 6265739928 7160845632 8354319904 9547794176 12531479856 14321691264 16708639808 25062959712 28643382528 33417279616 50125919424 66834559232 100251838848 200503677696