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23640426513 = 3211232587769
BaseRepresentation
bin10110000001000101…
…000100100000010001
32021000112122002121100
4112001011010200101
5341403422122023
614505452215013
71464555211164
oct260105044021
967015562540
1023640426513
11a03144a380
1246b916a469
1322c9970772
141203999adb
15935665c43
hex581144811

23640426513 has 72 divisors (see below), whose sum is σ = 39058699680. Its totient is φ = 13663457280.

The previous prime is 23640426503. The next prime is 23640426517. The reversal of 23640426513 is 31562404632.

23640426513 is a `hidden beast` number, since 2 + 3 + 640 + 4 + 2 + 6 + 5 + 1 + 3 = 666.

It is not a de Polignac number, because 23640426513 - 24 = 23640426497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23640426517) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30741393 + ... + 30742161.

It is an arithmetic number, because the mean of its divisors is an integer number (542481940).

Almost surely, 223640426513 is an apocalyptic number.

23640426513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23640426513 is a deficient number, since it is larger than the sum of its proper divisors (15418273167).

23640426513 is a wasteful number, since it uses less digits than its factorization.

23640426513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1393 counting only the distinct ones).

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

The spelling of 23640426513 in words is "twenty-three billion, six hundred forty million, four hundred twenty-six thousand, five hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 529 587 759 769 1587 1761 2277 2307 4761 5283 5819 6457 6921 8459 13501 17457 17687 19371 25377 40503 52371 53061 58113 76131 121509 148511 159183 194557 310523 406801 445533 451403 583671 931569 1220403 1336599 1354209 1751013 2794707 3415753 3661209 4062627 4474811 4965433 10247259 10382269 13424433 14896299 30741777 31146807 40273299 44688897 93440421 114204959 238792187 342614877 716376561 1027844631 2149129683 2626714057 7880142171 23640426513