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23000616414 = 23311316722571
BaseRepresentation
bin10101011010111100…
…011000110111011110
32012100221201101011000
4111122330120313132
5334101124211124
614322155011130
71442656004466
oct253274306736
965327641130
1023000616414
1198332805a6
12455aa39aa6
1322272468c9
141182a0cba6
158e93d26c9
hex55af18dde

23000616414 has 64 divisors (see below), whose sum is σ = 51875873280. Its totient is φ = 7553185920.

The previous prime is 23000616409. The next prime is 23000616427. The reversal of 23000616414 is 41461600032.

23000616414 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 0 + 616 + 41 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007749 + ... + 1030319.

It is an arithmetic number, because the mean of its divisors is an integer number (810560520).

Almost surely, 223000616414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000616414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25937936640).

23000616414 is an abundant number, since it is smaller than the sum of its proper divisors (28875256866).

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

23000616414 is a wasteful number, since it uses less digits than its factorization.

23000616414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22862 (or 22856 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 23000616414 in words is "twenty-three billion, six hundred sixteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 113 167 226 334 339 501 678 1002 1017 1503 2034 3006 3051 4509 6102 9018 18871 22571 37742 45142 56613 67713 113226 135426 169839 203139 339678 406278 509517 609417 1019034 1218834 2550523 3769357 5101046 7538714 7651569 11308071 15303138 22616142 22954707 33924213 45909414 67848426 68864121 101772639 137728242 203545278 425937341 851874682 1277812023 2555624046 3833436069 7666872138 11500308207 23000616414