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23134626540 = 2233542841901
BaseRepresentation
bin10101100010111011…
…100110001011101100
32012201021212210111000
4111202323212023230
5334334431022130
614343343200300
71446204036534
oct254273461354
965637783430
1023134626540
1198a1991373
1245978a6090
132248c3773c
1411967344c4
15906054260
hex562ee62ec

23134626540 has 48 divisors (see below), whose sum is σ = 71974395360. Its totient is φ = 6169233600.

The previous prime is 23134626539. The next prime is 23134626563. The reversal of 23134626540 is 4562643132.

23134626540 is a `hidden beast` number, since 2 + 313 + 46 + 265 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23134626495 and 23134626504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21420411 + ... + 21421490.

It is an arithmetic number, because the mean of its divisors is an integer number (1499466570).

Almost surely, 223134626540 is an apocalyptic number.

23134626540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23134626540 is an abundant number, since it is smaller than the sum of its proper divisors (48839768820).

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

23134626540 is a wasteful number, since it uses less digits than its factorization.

23134626540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42841919 (or 42841911 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 23134626540 in words is "twenty-three billion, one hundred thirty-four million, six hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 42841901 85683802 128525703 171367604 214209505 257051406 385577109 428419010 514102812 642628515 771154218 856838020 1156731327 1285257030 1542308436 1927885545 2313462654 2570514060 3855771090 4626925308 5783656635 7711542180 11567313270 23134626540