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23682113460 = 22325671963691
BaseRepresentation
bin10110000011100100…
…000101111110110100
32021010110002000100100
4112003210011332310
5342000110112320
614513541514100
71465602433365
oct260344057664
967113060310
1023682113460
11a052a323a5
12470b112930
1323054a80b5
14120932bb6c
1593914c790
hex583905fb4

23682113460 has 72 divisors (see below), whose sum is σ = 72907956576. Its totient is φ = 6220969920.

The previous prime is 23682113447. The next prime is 23682113473. The reversal of 23682113460 is 6431128632.

23682113460 is a `hidden beast` number, since 2 + 3 + 6 + 82 + 113 + 460 = 666.

It is an interprime number because it is at equal distance from previous prime (23682113447) and next prime (23682113473).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 969786 + ... + 993905.

It is an arithmetic number, because the mean of its divisors is an integer number (1012610508).

Almost surely, 223682113460 is an apocalyptic number.

23682113460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23682113460 is an abundant number, since it is smaller than the sum of its proper divisors (49225843116).

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

23682113460 is a wasteful number, since it uses less digits than its factorization.

23682113460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963773 (or 1963768 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23682113460 in words is "twenty-three billion, six hundred eighty-two million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 1963691 3927382 5891073 7854764 9818455 11782146 17673219 19636910 23564292 29455365 35346438 39273820 58910730 70692876 88366095 117821460 131567297 176732190 263134594 353464380 394701891 526269188 657836485 789403782 1184105673 1315672970 1578807564 1973509455 2368211346 2631345940 3947018910 4736422692 5920528365 7894037820 11841056730 23682113460