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56132925980481 = 327243282972
BaseRepresentation
bin11001100001101011101110…
…00111001111111101000001
321100202020220010101021022100
430300311313013033331001
524324140213022333411
6315215035445301013
714552320143215100
oct1460656707177501
9240666803337270
1056132925980481
1116981927374059
126366b2b404769
132542409bc389c
14dc0bc331c037
1567522d77d456
hex330d771cff41

56132925980481 has 81 divisors (see below), whose sum is σ = 96574695799491. Its totient is φ = 31326229134144.

The previous prime is 56132925980471. The next prime is 56132925980489. The reversal of 56132925980481 is 18408952923165.

The square root of 56132925980481 is 7492191.

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

56132925980481 is a `hidden beast` number, since 5 + 6 + 1 + 3 + 29 + 2 + 59 + 80 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55700772257025 + 432153723456 = 7463295^2 + 657384^2 .

It is not a de Polignac number, because 56132925980481 - 235 = 56098566242113 is a prime.

It is a super-2 number, since 2×561329259804812 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56132925980489) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6765444325 + ... + 6765452621.

Almost surely, 256132925980481 is an apocalyptic number.

56132925980481 is the 7492191-st square number.

56132925980481 is the 3746096-th centered octagonal number.

It is an amenable number.

56132925980481 is a deficient number, since it is larger than the sum of its proper divisors (40441769819010).

56132925980481 is an frugal number, since it uses more digits than its factorization.

56132925980481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 56132925980481 in words is "fifty-six trillion, one hundred thirty-two billion, nine hundred twenty-five million, nine hundred eighty thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 43 49 63 129 147 301 387 441 903 1849 2107 2709 5547 6321 8297 12943 16641 18963 24891 38829 58079 74673 90601 116487 174237 271803 356771 406553 522711 815409 1070313 1219659 2497397 3210939 3658977 7492191 15341153 17481779 22476573 46023459 52445337 68840209 107388071 138070377 157336011 206520627 322164213 481881463 619561881 751716497 966492639 1445644389 2255149491 2960128987 3373170241 4336933167 6765448473 8880386961 10119510723 20720902909 26641160883 30358532169 62162708727 127285546441 145046320363 186488126181 381856639323 435138961089 890998825087 1145569917969 1305416883267 2672996475261 6236991775609 8018989425783 18710975326827 56132925980481