Search a number
-
+
53550550753056 = 25327131202769261
BaseRepresentation
bin11000010110100001101011…
…00011100001111100100000
321000121101022221210120121200
430023100311203201330200
524004333011443044211
6305520441114121200
714164620366026430
oct1413206543417440
9230541287716550
1053550550753056
111607672a927225
12600a557120200
1323b5a45285836
14d31c0925c2c0
1562ce8cdbcb56
hex30b4358e1f20

53550550753056 has 144 divisors (see below), whose sum is σ = 175367835010368. Its totient is φ = 15183362188800.

The previous prime is 53550550752983. The next prime is 53550550753079. The reversal of 53550550753056 is 65035705505535.

53550550753056 is a `hidden beast` number, since 5 + 3 + 5 + 5 + 0 + 5 + 50 + 7 + 530 + 56 = 666.

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

It is a super-2 number, since 2×535505507530562 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53550550752993 and 53550550753011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101120535 + ... + 101648726.

It is an arithmetic number, because the mean of its divisors is an integer number (1217832187572).

Almost surely, 253550550753056 is an apocalyptic number.

53550550753056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

53550550753056 is an abundant number, since it is smaller than the sum of its proper divisors (121817284257312).

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

53550550753056 is a wasteful number, since it uses less digits than its factorization.

53550550753056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202769415 (or 202769404 counting only the distinct ones).

The product of its (nonzero) digits is 29531250, while the sum is 54.

The spelling of 53550550753056 in words is "fifty-three trillion, five hundred fifty billion, five hundred fifty million, seven hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 288 336 393 504 524 672 786 917 1008 1048 1179 1572 1834 2016 2096 2358 2751 3144 3668 4192 4716 5502 6288 7336 8253 9432 11004 12576 14672 16506 18864 22008 29344 33012 37728 44016 66024 88032 132048 264096 202769261 405538522 608307783 811077044 1216615566 1419384827 1622154088 1824923349 2433231132 2838769654 3244308176 3649846698 4258154481 4866462264 5677539308 6488616352 7299693396 8516308962 9732924528 11355078616 12774463443 14599386792 17032617924 19465849056 22710157232 25548926886 26562773191 29198773584 34065235848 45420314464 51097853772 53125546382 58397547168 68130471696 79688319573 102195707544 106251092764 136260943392 159376639146 185939412337 204391415088 212502185528 239064958719 318753278292 371878824674 408782830176 425004371056 478129917438 557818237011 637506556584 743757649348 850008742112 956259834876 1115636474022 1275013113168 1487515298696 1673454711033 1912519669752 2231272948044 2550026226336 2975030597392 3346909422066 3825039339504 4462545896088 5950061194784 6693818844132 7650078679008 8925091792176 13387637688264 17850183584352 26775275376528 53550550753056