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10557131468 = 22132331284743
BaseRepresentation
bin10011101010100000…
…10000101011001100
31000020202002211211012
421311100100223030
5133110111201333
64503323544352
7522421064642
oct116520205314
930222084735
1010557131468
114528253144
12206768b0b8
13cc3256970
1472214b192
1541bc5de48
hex275410acc

10557131468 has 48 divisors (see below), whose sum is σ = 21430972416. Its totient is φ = 4510313280.

The previous prime is 10557131423. The next prime is 10557131471. The reversal of 10557131468 is 86413175501.

It is a super-2 number, since 2×105571314682 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105296 + ... + 179447.

It is an arithmetic number, because the mean of its divisors is an integer number (446478592).

Almost surely, 210557131468 is an apocalyptic number.

It is an amenable number.

10557131468 is an abundant number, since it is smaller than the sum of its proper divisors (10873840948).

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

10557131468 is a wasteful number, since it uses less digits than its factorization.

10557131468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284814 (or 284812 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 10557131468 in words is "ten billion, five hundred fifty-seven million, one hundred thirty-one thousand, four hundred sixty-eight".

Divisors: 1 2 4 13 23 26 31 46 52 62 92 124 299 403 598 713 806 1196 1426 1612 2852 9269 18538 37076 284743 569486 1138972 3701659 6549089 7403318 8827033 13098178 14806636 17654066 26196356 35308132 85138157 114751429 170276314 203021759 229502858 340552628 406043518 459005716 812087036 2639282867 5278565734 10557131468