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56376522774 = 23411133077927
BaseRepresentation
bin110100100000010011…
…010111100000010110
312101111222101002110000
4310200103113200112
51410424342212044
641522104312130
74034030352105
oct644023274026
9171458332400
1056376522774
1121a00093a90
12ab14472646
135415b4a020
142a2b55203c
1516ee5a4d69
hexd204d7816

56376522774 has 160 divisors (see below), whose sum is σ = 148912194816. Its totient is φ = 15716306880.

The previous prime is 56376522773. The next prime is 56376522793. The reversal of 56376522774 is 47722567365.

It is a happy number.

56376522774 is a `hidden beast` number, since 563 + 7 + 6 + 5 + 2 + 2 + 7 + 74 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56376522774.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56376522773) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7107999 + ... + 7115925.

Almost surely, 256376522774 is an apocalyptic number.

56376522774 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56376522774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74456097408).

56376522774 is an abundant number, since it is smaller than the sum of its proper divisors (92535672042).

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

56376522774 is a wasteful number, since it uses less digits than its factorization.

56376522774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8263 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The spelling of 56376522774 in words is "fifty-six billion, three hundred seventy-six million, five hundred twenty-two thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 307 351 429 594 614 702 858 891 921 1053 1287 1782 1842 2106 2574 2763 3377 3861 3991 5526 6754 7722 7927 7982 8289 10131 11583 11973 15854 16578 20262 23166 23781 23946 24867 30393 35919 43901 47562 49734 60786 71343 71838 87197 87802 91179 103051 107757 131703 142686 174394 182358 206102 214029 215514 261591 263406 273537 309153 323271 395109 428058 523182 547074 618306 642087 646542 784773 790218 927459 1133561 1185327 1284174 1569546 1854918 2267122 2354319 2370654 2433589 2782377 3400683 3555981 4708638 4867178 5564754 6801366 7062957 7111962 7300767 8347131 10202049 14125914 14601534 16694262 20404098 21902301 26769479 30606147 31636657 43804602 53538958 61212294 63273314 65706903 80308437 91818441 94909971 131413806 160616874 183636882 189819942 197120709 240925311 284729913 348003227 394241418 481850622 569459826 696006454 722775933 854189739 1044009681 1445551866 1708379478 2088019362 2168327799 2562569217 3132029043 4336655598 5125138434 6264058086 9396087129 18792174258 28188261387 56376522774