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23180464032 = 253119722333
BaseRepresentation
bin10101100101101010…
…011100111110100000
32012211111010120200220
4111211222130332200
5334433144322112
614352101443040
71450301456535
oct254552347640
965744116626
1023180464032
1199158497a0
1245ab110480
13225559630b
14119c866d8c
1590a0aa98c
hex565a9cfa0

23180464032 has 144 divisors (see below), whose sum is σ = 67100558112. Its totient is φ = 6948986880.

The previous prime is 23180464031. The next prime is 23180464033. The reversal of 23180464032 is 23046408132.

It is an interprime number because it is at equal distance from previous prime (23180464031) and next prime (23180464033).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 23180463984 and 23180464002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23180464031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9934738 + ... + 9937070.

It is an arithmetic number, because the mean of its divisors is an integer number (465976098).

Almost surely, 223180464032 is an apocalyptic number.

23180464032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23180464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33550279056).

23180464032 is an abundant number, since it is smaller than the sum of its proper divisors (43920094080).

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

23180464032 is a wasteful number, since it uses less digits than its factorization.

23180464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 23180464032 in words is "twenty-three billion, one hundred eighty million, four hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 97 132 176 194 264 291 352 388 528 582 776 1056 1067 1164 1552 2134 2328 2333 3104 3201 4268 4656 4666 6402 6999 8536 9312 9332 9409 12804 13998 17072 18664 18818 25608 25663 27996 28227 34144 37328 37636 51216 51326 55992 56454 74656 75272 76989 102432 102652 103499 111984 112908 150544 153978 205304 206998 223968 225816 226301 301088 307956 310497 410608 413996 451632 452602 615912 620994 678903 821216 827992 903264 905204 1231824 1241988 1357806 1655984 1810408 2463648 2483976 2489311 2715612 3311968 3620816 4967952 4978622 5431224 7241632 7467933 9935904 9957244 10862448 14935866 19914488 21724896 21951197 29871732 39828976 43902394 59743464 65853591 79657952 87804788 119486928 131707182 175609576 238973856 241463167 263414364 351219152 482926334 526828728 702438304 724389501 965852668 1053657456 1448779002 1931705336 2107314912 2897558004 3863410672 5795116008 7726821344 11590232016 23180464032