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51231316356 = 2232117110118041
BaseRepresentation
bin101111101101100111…
…111101100110000100
311220020101202112010100
4233231213331212010
51314410204110411
635311344524100
73462363001233
oct575547754604
9156211675110
1051231316356
111a7aa819280
129b19320630
134aa5baa39c
1426a0092b1a
1514eca19456
hexbed9fd984

51231316356 has 144 divisors (see below), whose sum is σ = 144690489216. Its totient is φ = 15153600000.

The previous prime is 51231316303. The next prime is 51231316361. The reversal of 51231316356 is 65361313215.

51231316356 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 13 + 1 + 635 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51231316356.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830696 + ... + 2848736.

It is an arithmetic number, because the mean of its divisors is an integer number (1004795064).

Almost surely, 251231316356 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 51231316356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72345244608).

51231316356 is an abundant number, since it is smaller than the sum of its proper divisors (93459172860).

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

51231316356 is a wasteful number, since it uses less digits than its factorization.

51231316356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18234 (or 18229 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The spelling of 51231316356 in words is "fifty-one billion, two hundred thirty-one million, three hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 101 132 142 198 202 213 284 303 396 404 426 606 639 781 852 909 1111 1212 1278 1562 1818 2222 2343 2556 3124 3333 3636 4444 4686 6666 7029 7171 9372 9999 13332 14058 14342 18041 19998 21513 28116 28684 36082 39996 43026 54123 64539 72164 78881 86052 108246 129078 157762 162369 198451 216492 236643 258156 315524 324738 396902 473286 595353 649476 709929 793804 946572 1190706 1280911 1419858 1786059 1822141 2381412 2561822 2839716 3572118 3644282 3842733 5123644 5466423 7144236 7288564 7685466 10932846 11528199 14090021 15370932 16399269 20043551 21865692 23056398 28180042 32798538 40087102 42270063 46112796 56360084 60130653 65597076 80174204 84540126 120261306 126810189 129372011 169080252 180391959 240522612 253620378 258744022 360783918 388116033 507240756 517488044 721567836 776232066 1164348099 1423092121 1552464132 2328696198 2846184242 4269276363 4657392396 5692368484 8538552726 12807829089 17077105452 25615658178 51231316356