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10135269563814 = 2321916311467123
BaseRepresentation
bin1001001101111100110100…
…1001000101110110100110
31022212220220100210002001100
42103133031021011312212
52312024013002020224
633320024545140530
72064151266562413
oct223371511056646
938786810702040
1010135269563814
11325838649646a
12117834932a746
135869a0991045
1427079a3c910a
15128995708ac9
hex937cd245da6

10135269563814 has 48 divisors (see below), whose sum is σ = 22078268319744. Its totient is φ = 3360195394800.

The previous prime is 10135269563813. The next prime is 10135269563869. The reversal of 10135269563814 is 41836596253101.

10135269563814 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 5 + 2 + 69 + 563 + 8 + 14 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135269563813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21463657 + ... + 21930779.

It is an arithmetic number, because the mean of its divisors is an integer number (459963923328).

Almost surely, 210135269563814 is an apocalyptic number.

10135269563814 is an abundant number, since it is smaller than the sum of its proper divisors (11942998755930).

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

10135269563814 is a wasteful number, since it uses less digits than its factorization.

10135269563814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473633 (or 473630 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 10135269563814 in words is "ten trillion, one hundred thirty-five billion, two hundred sixty-nine million, five hundred sixty-three thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 191 382 573 1146 1719 3438 6311 12622 18933 37866 56799 113598 467123 934246 1205401 1401369 2410802 2802738 3616203 4204107 7232406 8408214 10848609 21697218 89220493 178440986 267661479 535322958 802984437 1605968874 2948013253 5896026506 8844039759 17688079518 26532119277 53064238554 563070531323 1126141062646 1689211593969 3378423187938 5067634781907 10135269563814