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51337590084 = 223211234332
BaseRepresentation
bin101111110011111101…
…010111010101000100
311220111210201210021100
4233303331113111010
51320114410340314
635330102420100
73465123213204
oct576375272504
9156453653240
1051337590084
111a854805300
129b48a31630
134ac1c09651
1426b0238404
15150700cc09
hexbf3f57544

51337590084 has 81 divisors (see below), whose sum is σ = 142681335069. Its totient is φ = 15552313920.

The previous prime is 51337590047. The next prime is 51337590089. The reversal of 51337590084 is 48009573315.

The square root of 51337590084 is 226578.

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

51337590084 is a `hidden beast` number, since 51 + 3 + 3 + 7 + 590 + 0 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16991122500 + 34346467584 = 130350^2 + 185328^2 .

It is not an unprimeable number, because it can be changed into a prime (51337590089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14952432 + ... + 14955864.

Almost surely, 251337590084 is an apocalyptic number.

51337590084 is the 226578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51337590084

51337590084 is an abundant number, since it is smaller than the sum of its proper divisors (91343744985).

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

51337590084 is a wasteful number, since it uses less digits than its factorization.

51337590084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6898 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 51337590084 in words is "fifty-one billion, three hundred thirty-seven million, five hundred ninety thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3433 4356 6866 10299 13732 20598 30897 37763 41196 61794 75526 113289 123588 151052 226578 339867 415393 453156 679734 830786 1246179 1359468 1661572 2492358 3738537 4984716 7477074 11785489 14954148 23570978 35356467 47141956 70712934 106069401 129640379 141425868 212138802 259280758 388921137 424277604 518561516 777842274 1166763411 1426044169 1555684548 2333526822 2852088338 4278132507 4667053644 5704176676 8556265014 12834397521 17112530028 25668795042 51337590084