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56529054432 = 25321734933083
BaseRepresentation
bin110100101001011001…
…001110101011100000
312101220121101111112200
4310221121032223200
51411232414220212
641545153453200
74040562014604
oct645131165340
9171817344480
1056529054432
1121a791a5304
12ab57571200
13543b624346
142a438d9504
15170cb846dc
hexd2964eae0

56529054432 has 144 divisors (see below), whose sum is σ = 170703514800. Its totient is φ = 17683255296.

The previous prime is 56529054389. The next prime is 56529054437. The reversal of 56529054432 is 23445092565.

56529054432 is a `hidden beast` number, since 56 + 5 + 29 + 0 + 544 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56529054437) 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 23 ways as a sum of consecutive naturals, for example, 1692163 + ... + 1725245.

It is an arithmetic number, because the mean of its divisors is an integer number (1185441075).

Almost surely, 256529054432 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 56529054432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85351757400).

56529054432 is an abundant number, since it is smaller than the sum of its proper divisors (114174460368).

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

56529054432 is a wasteful number, since it uses less digits than its factorization.

56529054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33465 (or 33454 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 56529054432 in words is "fifty-six billion, five hundred twenty-nine million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 349 408 544 612 698 816 1047 1224 1396 1632 2094 2448 2792 3141 4188 4896 5584 5933 6282 8376 11168 11866 12564 16752 17799 23732 25128 33083 33504 35598 47464 50256 53397 66166 71196 94928 99249 100512 106794 132332 142392 189856 198498 213588 264664 284784 297747 396996 427176 529328 562411 569568 595494 793992 854352 1058656 1124822 1190988 1587984 1687233 1708704 2249644 2381976 3175968 3374466 4499288 4763952 5061699 6748932 8998576 9527904 10123398 11545967 13497864 17997152 20246796 23091934 26995728 34637901 40493592 46183868 53991456 69275802 80987184 92367736 103913703 138551604 161974368 184735472 196281439 207827406 277103208 369470944 392562878 415654812 554206416 588844317 785125756 831309624 1108412832 1177688634 1570251512 1662619248 1766532951 2355377268 3140503024 3325238496 3533065902 4710754536 6281006048 7066131804 9421509072 14132263608 18843018144 28264527216 56529054432