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23000417136 = 2432676133889
BaseRepresentation
bin10101011010111011…
…101000001101110000
32012100221100020210100
4111122323220031300
5334101101322021
614322150432400
71442654214504
oct253273501560
965327306710
1023000417136
119833154904
12455a962700
1322271a6ca8
14118299a304
158e9393626
hex55aee8370

23000417136 has 120 divisors (see below), whose sum is σ = 65453357840. Its totient is φ = 7538116608.

The previous prime is 23000417131. The next prime is 23000417173. The reversal of 23000417136 is 63171400032.

23000417136 is a `hidden beast` number, since 230 + 0 + 0 + 417 + 13 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23000417131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5912280 + ... + 5916168.

Almost surely, 223000417136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23000417136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32726678920).

23000417136 is an abundant number, since it is smaller than the sum of its proper divisors (42452940704).

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

23000417136 is a wasteful number, since it uses less digits than its factorization.

23000417136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4583 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 23000417136 its reverse (63171400032), we get a palindrome (86171817168).

The spelling of 23000417136 in words is "twenty-three billion, four hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 402 536 603 613 804 1072 1206 1226 1608 1839 2412 2452 3216 3678 3889 4824 4904 5517 7356 7778 9648 9808 11034 11667 14712 15556 22068 23334 29424 31112 35001 41071 44136 46668 62224 70002 82142 88272 93336 123213 140004 164284 186672 246426 260563 280008 328568 369639 492852 521126 560016 657136 739278 781689 985704 1042252 1478556 1563378 1971408 2084504 2345067 2383957 2957112 3126756 4169008 4690134 4767914 5914224 6253512 7151871 9380268 9535828 12507024 14303742 18760536 19071656 21455613 28607484 37521072 38143312 42911226 57214968 85822452 114429936 159725119 171644904 319450238 343289808 479175357 638900476 958350714 1277800952 1437526071 1916701428 2555601904 2875052142 3833402856 5750104284 7666805712 11500208568 23000417136