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23690040504 = 233131275471093
BaseRepresentation
bin10110000100000010…
…010101010010111000
32021010222222202012120
4112010002111102320
5342004122244004
614514423441240
71466030010324
oct260402252270
967128882176
1023690040504
11a057457079
1247118b6220
132307022260
14120a3d2984
15939bb63d9
hex5840954b8

23690040504 has 128 divisors (see below), whose sum is σ = 64459530240. Its totient is φ = 7212022272.

The previous prime is 23690040499. The next prime is 23690040511. The reversal of 23690040504 is 40504009632.

23690040504 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×236900405042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21673782 + ... + 21674874.

It is an arithmetic number, because the mean of its divisors is an integer number (503590080).

Almost surely, 223690040504 is an apocalyptic number.

23690040504 is a gapful number since it is divisible by the number (24) 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 23690040504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32229765120).

23690040504 is an abundant number, since it is smaller than the sum of its proper divisors (40769489736).

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

23690040504 is a wasteful number, since it uses less digits than its factorization.

23690040504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 23690040504 in words is "twenty-three billion, six hundred ninety million, forty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 127 156 254 312 381 508 547 762 1016 1093 1094 1524 1641 1651 2186 2188 3048 3279 3282 3302 4372 4376 4953 6558 6564 6604 7111 8744 9906 13116 13128 13208 14209 14222 19812 21333 26232 28418 28444 39624 42627 42666 56836 56888 69469 85254 85332 113672 138811 138938 170508 170664 208407 277622 277876 341016 416433 416814 555244 555752 597871 832866 833628 903097 1110488 1195742 1665732 1667256 1793613 1804543 1806194 2391484 2709291 3331464 3587226 3609086 3612388 4782968 5413629 5418582 7174452 7218172 7224776 7772323 10827258 10837164 14348904 14436344 15544646 21654516 21674328 23316969 31089292 43309032 46633938 62178584 75929617 93267876 151859234 186535752 227788851 303718468 455577702 607436936 911155404 987085021 1822310808 1974170042 2961255063 3948340084 5922510126 7896680168 11845020252 23690040504