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51516116505 = 3357509107101
BaseRepresentation
bin101111111110100110…
…011000111000011001
311220222020122212111000
4233332212120320121
51321001111212010
635355521055213
73502421523330
oct577646307031
9156866585430
1051516116505
111a9365608a7
129b98787509
134b1cbb5899
1426c9c2ad17
151517a247c0
hexbfe998e19

51516116505 has 64 divisors (see below), whose sum is σ = 104874278400. Its totient is φ = 23503737600.

The previous prime is 51516116489. The next prime is 51516116579. The reversal of 51516116505 is 50561161515.

It is a happy number.

It is not a de Polignac number, because 51516116505 - 24 = 51516116489 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 51516116505.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427455 + ... + 534555.

It is an arithmetic number, because the mean of its divisors is an integer number (1638660600).

Almost surely, 251516116505 is an apocalyptic number.

It is an amenable number.

51516116505 is an abundant number, since it is smaller than the sum of its proper divisors (53358161895).

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

51516116505 is a wasteful number, since it uses less digits than its factorization.

51516116505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107631 (or 107625 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 51516116505 in words is "fifty-one billion, five hundred sixteen million, one hundred sixteen thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 509 945 1527 2545 3563 4581 7635 10689 13743 17815 22905 32067 53445 68715 96201 107101 160335 321303 481005 535505 749707 963909 1606515 2249121 2891727 3748535 4819545 6747363 11245605 14458635 20242089 33736815 54514409 101210445 163543227 272572045 381600863 490629681 817716135 1144802589 1471889043 1908004315 2453148405 3434407767 5724012945 7359445215 10303223301 17172038835 51516116505