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51233104116 = 223219216272423
BaseRepresentation
bin101111101101101110…
…110010000011110100
311220020112010100110200
4233231232302003310
51314411133312431
635311451120500
73462414125325
oct575556620364
9156215110420
1051233104116
111a80082a467
129b19a43130
134aa638502c
1426a03da44c
1514ecc6dee6
hexbedbb20f4

51233104116 has 108 divisors (see below), whose sum is σ = 136821196512. Its totient is φ = 16162257888.

The previous prime is 51233104081. The next prime is 51233104121. The reversal of 51233104116 is 61140133215.

It is a happy number.

51233104116 is a `hidden beast` number, since 5 + 1 + 233 + 10 + 411 + 6 = 666.

It is a super-2 number, since 2×512331041162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51233104116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21143281 + ... + 21145703.

Almost surely, 251233104116 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 51233104116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68410598256).

51233104116 is an abundant number, since it is smaller than the sum of its proper divisors (85588092396).

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

51233104116 is a wasteful number, since it uses less digits than its factorization.

51233104116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4074 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 51233104116 in words is "fifty-one billion, two hundred thirty-three million, one hundred four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 1627 2166 2423 3249 3254 4332 4846 4881 6498 6508 7269 9692 9762 12996 14538 14643 19524 21807 29076 29286 30913 43614 46037 58572 61826 87228 92074 92739 123652 138111 184148 185478 276222 278217 370956 414333 552444 556434 587347 828666 874703 1112868 1174694 1657332 1749406 1762041 2349388 2624109 3498812 3524082 3942221 5248218 5286123 7048164 7872327 7884442 10496436 10572246 11826663 15744654 15768884 21144492 23653326 31489308 35479989 47306652 70959978 74902199 141919956 149804398 224706597 299608796 449413194 674119791 898826388 1348239582 1423141781 2696479164 2846283562 4269425343 5692567124 8538850686 12808276029 17077701372 25616552058 51233104116