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23679662640 = 2435544318127
BaseRepresentation
bin10110000011011010…
…101111101000110000
32021010021110111110020
4112003122233220300
5341443443201030
614513413203440
71465542545214
oct260332575060
967107414406
1023679662640
11a051609027
12470a330580
132304b2a6ca
141208c90944
15938d16510
hex5836afa30

23679662640 has 80 divisors (see below), whose sum is σ = 73424491008. Its totient is φ = 6313068288.

The previous prime is 23679662603. The next prime is 23679662663. The reversal of 23679662640 is 4626697632.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1297257 + ... + 1315383.

Almost surely, 223679662640 is an apocalyptic number.

23679662640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23679662640 is an abundant number, since it is smaller than the sum of its proper divisors (49744828368).

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

23679662640 is a wasteful number, since it uses less digits than its factorization.

23679662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23586 (or 23580 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 23679662640 in words is "twenty-three billion, six hundred seventy-nine million, six hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5443 10886 16329 18127 21772 27215 32658 36254 43544 54381 54430 65316 72508 81645 87088 90635 108762 108860 130632 145016 163290 181270 217524 217720 261264 271905 290032 326580 362540 435048 435440 543810 653160 725080 870096 1087620 1306320 1450160 2175240 4350480 98665261 197330522 295995783 394661044 493326305 591991566 789322088 986652610 1183983132 1479978915 1578644176 1973305220 2367966264 2959957830 3946610440 4735932528 5919915660 7893220880 11839831320 23679662640