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51034892976 = 24321757736131
BaseRepresentation
bin101111100001111010…
…101010101010110000
311212201201011011220100
4233201322222222300
51314004413033401
635240050512400
73454456301304
oct574172525260
9155651134810
1051034892976
111a709959501
129a83595700
134a742a6032
142681d61d04
1514da669b86
hexbe1eaaab0

51034892976 has 120 divisors (see below), whose sum is σ = 151494683184. Its totient is φ = 15982755840.

The previous prime is 51034892971. The next prime is 51034892983. The reversal of 51034892976 is 67929843015.

51034892976 is a `hidden beast` number, since 5 + 1 + 0 + 348 + 9 + 297 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (51034892971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394431 + ... + 1430561.

It is a 1-persistent number, because it is pandigital, but 2⋅51034892976 = 102069785952 is not.

Almost surely, 251034892976 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 51034892976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75747341592).

51034892976 is an abundant number, since it is smaller than the sum of its proper divisors (100459790208).

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

51034892976 is a wasteful number, since it uses less digits than its factorization.

51034892976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36739 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 51034892976 in words is "fifty-one billion, thirty-four million, eight hundred ninety-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 577 612 816 1154 1224 1731 2308 2448 3462 4616 5193 6924 9232 9809 10386 13848 19618 20772 27696 29427 36131 39236 41544 58854 72262 78472 83088 88281 108393 117708 144524 156944 176562 216786 235416 289048 325179 353124 433572 470832 578096 614227 650358 706248 867144 1228454 1300716 1412496 1734288 1842681 2456908 2601432 3685362 4913816 5202864 5528043 7370724 9827632 11056086 14741448 20847587 22112172 29482896 41695174 44224344 62542761 83390348 88448688 125085522 166780696 187628283 250171044 333561392 354408979 375256566 500342088 708817958 750513132 1000684176 1063226937 1417635916 1501026264 2126453874 2835271832 3002052528 3189680811 4252907748 5670543664 6379361622 8505815496 12758723244 17011630992 25517446488 51034892976