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56764015504 = 24726721272
BaseRepresentation
bin110100110111011001…
…100010001110010000
312102111222111202112121
4310313121202032100
51412223041444004
642024345504024
74046444112400
oct646731421620
9172458452477
1056764015504
1122089897009
12b0021a2014
1354781cc771
142a66bbc800
1517235e7854
hexd37662390

56764015504 has 135 divisors (see below), whose sum is σ = 130904924283. Its totient is φ = 23775643584.

The previous prime is 56764015501. The next prime is 56764015543. The reversal of 56764015504 is 40551046765.

The square root of 56764015504 is 238252.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×567640155042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56764015501) 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 26 ways as a sum of consecutive naturals, for example, 446960689 + ... + 446960815.

Almost surely, 256764015504 is an apocalyptic number.

56764015504 is the 238252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56764015504

56764015504 is an abundant number, since it is smaller than the sum of its proper divisors (74140908779).

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

56764015504 is an equidigital number, since it uses as much as digits as its factorization.

56764015504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 56764015504 in words is "fifty-six billion, seven hundred sixty-four million, fifteen thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 67 98 112 127 134 196 254 268 392 469 508 536 784 889 938 1016 1072 1778 1876 2032 3283 3556 3752 4489 6223 6566 7112 7504 8509 8978 12446 13132 14224 16129 17018 17956 24892 26264 31423 32258 34036 35912 49784 52528 59563 62846 64516 68072 71824 99568 112903 119126 125692 129032 136144 219961 225806 238252 251384 258064 416941 439922 451612 476504 502768 570103 790321 833882 879844 903224 953008 1080643 1140206 1580642 1667764 1759688 1806448 2161286 2280412 3161284 3335528 3519376 3990721 4322572 4560824 6322568 6671056 7564501 7981442 8645144 9121648 12645136 15129002 15962884 17290288 27935047 30258004 31925768 52951507 55870094 60516008 63851536 72403081 105903014 111740188 121032016 144806162 211806028 223480376 289612324 423612056 446960752 506821567 579224648 847224112 1013643134 1158449296 2027286268 3547750969 4054572536 7095501938 8109145072 14191003876 28382007752 56764015504