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10516376135655 = 3251387509205427
BaseRepresentation
bin1001100100001000100011…
…0111010010011111100111
31101020100121100000211222200
42121002020313102133213
52334300014242320110
634211053445425543
72133532414153455
oct231021067223747
941210540024880
1010516376135655
113394a74192625
12121a18910b2b3
135b38c7c667a0
14284dd12359d5
1513384d5b96c0
hex99088dd27e7

10516376135655 has 48 divisors (see below), whose sum is σ = 19630888673760. Its totient is φ = 5177208501504.

The previous prime is 10516376135653. The next prime is 10516376135659. The reversal of 10516376135655 is 55653167361501.

10516376135655 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 3 + 76 + 1 + 3 + 565 + 5 = 666.

10516376135655 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10516376135655 - 21 = 10516376135653 is a prime.

It is a super-2 number, since 2×105163761356552 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516376135653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51090052 + ... + 51295478.

It is an arithmetic number, because the mean of its divisors is an integer number (408976847370).

Almost surely, 210516376135655 is an apocalyptic number.

10516376135655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10516376135655 is a deficient number, since it is larger than the sum of its proper divisors (9114512538105).

10516376135655 is a wasteful number, since it uses less digits than its factorization.

10516376135655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292960 (or 292957 counting only the distinct ones).

The product of its (nonzero) digits is 8505000, while the sum is 54.

The spelling of 10516376135655 in words is "ten trillion, five hundred sixteen billion, three hundred seventy-six million, one hundred thirty-five thousand, six hundred fifty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 87509 205427 262527 437545 616281 787581 1027135 1137617 1312635 1848843 2670551 3081405 3412851 3937905 5688085 8011653 9244215 10238553 13352755 17064255 24034959 40058265 51192765 120174795 17976711343 53930134029 89883556715 161790402087 233697247459 269650670145 701091742377 808952010435 1168486237295 2103275227131 3505458711885 10516376135655