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23474624640 = 273519643493
BaseRepresentation
bin10101110111001100…
…100101100010000000
32020120222122111012020
4111313030211202000
5341034000442030
614441210401440
71460503005615
oct256714454200
966528574166
1023474624640
119a568a4a35
124671730280
1322a14cb24c
1411c995a50c
15925d14510
hex577325880

23474624640 has 128 divisors (see below), whose sum is σ = 78763665600. Its totient is φ = 5930422272.

The previous prime is 23474624627. The next prime is 23474624647. The reversal of 23474624640 is 4642647432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23474624592 and 23474624601.

It is not an unprimeable number, because it can be changed into a prime (23474624647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285267 + ... + 358226.

Almost surely, 223474624640 is an apocalyptic number.

23474624640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23474624640 is an abundant number, since it is smaller than the sum of its proper divisors (55289040960).

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

23474624640 is a wasteful number, since it uses less digits than its factorization.

23474624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643534 (or 643522 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 42.

The spelling of 23474624640 in words is "twenty-three billion, four hundred seventy-four million, six hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 285 304 320 380 384 456 480 570 608 640 760 912 960 1140 1216 1520 1824 1920 2280 2432 3040 3648 4560 6080 7296 9120 12160 18240 36480 643493 1286986 1930479 2573972 3217465 3860958 5147944 6434930 7721916 9652395 10295888 12226367 12869860 15443832 19304790 20591776 24452734 25739720 30887664 36679101 38609580 41183552 48905468 51479440 61131835 61775328 73358202 77219160 82367104 97810936 102958880 122263670 123550656 146716404 154438320 183395505 195621872 205917760 244527340 247101312 293432808 308876640 366791010 391243744 411835520 489054680 586865616 617753280 733582020 782487488 978109360 1173731232 1235506560 1467164040 1564974976 1956218720 2347462464 2934328080 3912437440 4694924928 5868656160 7824874880 11737312320 23474624640