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56478525642 = 23371143930941
BaseRepresentation
bin110100100110011000…
…011110100011001010
312101210002022101002000
4310212120132203022
51411132000310032
641540150451430
74036406355420
oct644630364312
9171702271060
1056478525642
1121a52723280
12ab42663b76
135431012356
142a3ad05110
151708502e7c
hexd2661e8ca

56478525642 has 128 divisors (see below), whose sum is σ = 156838809600. Its totient is φ = 14635857600.

The previous prime is 56478525583. The next prime is 56478525647. The reversal of 56478525642 is 24652587465.

56478525642 is a `hidden beast` number, since 5 + 6 + 4 + 78 + 5 + 2 + 564 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (56478525647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1809892 + ... + 1840832.

It is an arithmetic number, because the mean of its divisors is an integer number (1225303200).

Almost surely, 256478525642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56478525642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78419404800).

56478525642 is an abundant number, since it is smaller than the sum of its proper divisors (100360283958).

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

56478525642 is a wasteful number, since it uses less digits than its factorization.

56478525642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31409 (or 31403 counting only the distinct ones).

The product of its digits is 16128000, while the sum is 54.

The spelling of 56478525642 in words is "fifty-six billion, four hundred seventy-eight million, five hundred twenty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 439 462 594 693 878 1317 1386 2079 2634 3073 3951 4158 4829 6146 7902 9219 9658 11853 14487 18438 23706 27657 28974 30941 33803 43461 55314 61882 67606 82971 86922 92823 101409 130383 165942 185646 202818 216587 260766 278469 304227 340351 433174 556938 608454 649761 680702 835407 912681 1021053 1299522 1670814 1825362 1949283 2042106 2382457 3063159 3898566 4764914 5847849 6126318 7147371 9189477 11695698 13583099 14294742 18378954 21442113 27166198 40749297 42884226 64326339 81498594 95081693 122247891 128652678 149414089 190163386 244495782 285245079 298828178 366743673 448242267 570490158 733487346 855735237 896484534 1045898623 1344726801 1711470474 2091797246 2567205711 2689453602 3137695869 4034180403 5134411422 6275391738 8068360806 9413087607 18826175214 28239262821 56478525642