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51431355105 = 35132132715289
BaseRepresentation
bin101111111001100011…
…000011001011100001
311220202100011112200220
4233321203003023201
51320312411330410
635343252233253
73500342206464
oct577143031341
9156670145626
1051431355105
111a8a2728359
129b7430b829
134b08479200
1426bc8852db
151510380070
hexbf98c32e1

51431355105 has 48 divisors (see below), whose sum is σ = 89180087040. Its totient is φ = 25299316224.

The previous prime is 51431355061. The next prime is 51431355133. The reversal of 51431355105 is 50155313415.

It is not a de Polignac number, because 51431355105 - 234 = 34251485921 is a prime.

It is a super-2 number, since 2×514313551052 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3356301 + ... + 3371589.

It is an arithmetic number, because the mean of its divisors is an integer number (1857918480).

Almost surely, 251431355105 is an apocalyptic number.

It is an amenable number.

51431355105 is a deficient number, since it is larger than the sum of its proper divisors (37748731935).

51431355105 is a wasteful number, since it uses less digits than its factorization.

51431355105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16650 (or 16637 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 51431355105 in words is "fifty-one billion, four hundred thirty-one million, three hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 13 15 39 65 169 195 507 845 1327 2535 3981 6635 15289 17251 19905 45867 51753 76445 86255 198757 224263 229335 258765 596271 672789 993785 1121315 2583841 2981355 3363945 7751523 12919205 20288503 38757615 60865509 101442515 263750539 304327545 791251617 1318752695 3428757007 3956258085 10286271021 17143785035 51431355105