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12787945904 = 24172331233283
BaseRepresentation
bin10111110100011100…
…01001000110110000
31020000012202221221002
423322032021012300
5202142203232104
65512534021132
7631616514056
oct137216110660
936005687832
1012787945904
11547250a038
12258a7a77a8
13128a486bc6
1489452a1d6
154eca1601e
hex2fa3891b0

12787945904 has 160 divisors (see below), whose sum is σ = 28479320064. Its totient is φ = 5527019520.

The previous prime is 12787945903. The next prime is 12787945949. The reversal of 12787945904 is 40954978721.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12787945904.

It is not an unprimeable number, because it can be changed into a prime (12787945901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45186947 + ... + 45187229.

Almost surely, 212787945904 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 12787945904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239660032).

12787945904 is an abundant number, since it is smaller than the sum of its proper divisors (15691374160).

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

12787945904 is a wasteful number, since it uses less digits than its factorization.

12787945904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 12787945904 in words is "twelve billion, seven hundred eighty-seven million, nine hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 23 31 34 46 62 68 92 124 136 184 233 248 272 283 368 391 466 496 527 566 713 782 932 1054 1132 1426 1564 1864 2108 2264 2852 3128 3728 3961 4216 4528 4811 5359 5704 6256 6509 7223 7922 8432 8773 9622 10718 11408 12121 13018 14446 15844 17546 19244 21436 24242 26036 28892 31688 35092 38488 42872 48484 52072 57784 63376 65939 70184 76976 85744 91103 96968 104144 110653 115568 122791 131878 140368 149141 166129 182206 193936 201779 221306 245582 263756 298282 332258 364412 403558 442612 491164 527512 596564 664516 728824 807116 885224 982328 1055024 1120963 1193128 1329032 1457648 1516597 1614232 1770448 1964656 2044109 2241926 2386256 2658064 2824193 3033194 3228464 3430243 4088218 4483852 5648386 6066388 6860486 8176436 8967704 11296772 12132776 13720972 16352872 17935408 22593544 24265552 25782149 27441944 32705744 34749853 45187088 47014507 51564298 54883888 69499706 94029014 103128596 138999412 188058028 206257192 277998824 376116056 412514384 555997648 752232112 799246619 1598493238 3196986476 6393972952 12787945904