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23362540032 = 293131736763
BaseRepresentation
bin10101110000100001…
…000001001000000000
32020022011202000000110
4111300201001020000
5340321302240112
614422124151320
71454642212416
oct256041011000
966264660013
1023362540032
1199a95aa127
124640098540
1322842160b0
1411b8b012b6
1591b07413c
hex570841200

23362540032 has 160 divisors (see below), whose sum is σ = 67424309568. Its totient is φ = 7145865216.

The previous prime is 23362540027. The next prime is 23362540057. The reversal of 23362540032 is 23004526332.

It is a super-2 number, since 2×233625400322 (a number of 22 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, 3451083 + ... + 3457845.

Almost surely, 223362540032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23362540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33712154784).

23362540032 is an abundant number, since it is smaller than the sum of its proper divisors (44061769536).

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

23362540032 is a wasteful number, since it uses less digits than its factorization.

23362540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6970 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The spelling of 23362540032 in words is "twenty-three billion, three hundred sixty-two million, five hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 173 192 208 256 312 346 384 416 512 519 624 692 768 832 1038 1248 1384 1536 1664 2076 2249 2496 2768 3328 4152 4498 4992 5536 6656 6747 6763 8304 8996 9984 11072 13494 13526 16608 17992 19968 20289 22144 26988 27052 33216 35984 40578 44288 53976 54104 66432 71968 81156 87919 88576 107952 108208 132864 143936 162312 175838 215904 216416 263757 265728 287872 324624 351676 431808 432832 527514 575744 649248 703352 863616 865664 1055028 1151488 1169999 1298496 1406704 1727232 1731328 2110056 2339998 2596992 2813408 3454464 3462656 3509997 4220112 4679996 5193984 5626816 7019994 8440224 9359992 10387968 11253632 14039988 15209987 16880448 18719984 22507264 28079976 30419974 33760896 37439968 45014528 45629961 56159952 60839948 67521792 74879936 91259922 112319904 121679896 135043584 149759872 182519844 224639808 243359792 299519744 365039688 449279616 486719584 599039488 730079376 898559232 973439168 1460158752 1797118464 1946878336 2920317504 3893756672 5840635008 7787513344 11681270016 23362540032