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23428039761 = 3277110494993
BaseRepresentation
bin10101110100011010…
…111000010001010001
32020110201222201202100
4111310122320101101
5340440034233021
614432424111013
71456366023630
oct256432702121
966421881670
1023428039761
119a32577035
12465a005469
13229496a429
1411c36b1517
15921bb1626
hex5746b8451

23428039761 has 48 divisors (see below), whose sum is σ = 39264825600. Its totient is φ = 13183672320.

The previous prime is 23428039741. The next prime is 23428039781. The reversal of 23428039761 is 16793082432.

23428039761 is a `hidden beast` number, since 234 + 28 + 0 + 397 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23428039741) and next prime (23428039781).

It is not a de Polignac number, because 23428039761 - 219 = 23427515473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23428039741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4689681 + ... + 4694673.

It is an arithmetic number, because the mean of its divisors is an integer number (818017200).

Almost surely, 223428039761 is an apocalyptic number.

23428039761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23428039761 is a deficient number, since it is larger than the sum of its proper divisors (15836785839).

23428039761 is a wasteful number, since it uses less digits than its factorization.

23428039761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23428039761 in words is "twenty-three billion, four hundred twenty-eight million, thirty-nine thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 63 71 213 497 639 1049 1491 3147 4473 4993 7343 9441 14979 22029 34951 44937 66087 74479 104853 223437 314559 354503 521353 670311 1063509 1564059 2481521 3190527 4692177 5237657 7444563 15712971 22333689 36663599 47138913 109990797 329972391 371873647 1115620941 2603115529 3346862823 7809346587 23428039761