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23039762976 = 25321914812843
BaseRepresentation
bin10101011101010001…
…101110001000100000
32012110200101020010200
4111131101232020200
5334141134403401
614330114025200
71443642516426
oct253521561040
965420336120
1023039762976
119853388a2a
12456bb78200
1322323a1b59
141187cbd116
158eca66686
hex55d46e220

23039762976 has 144 divisors (see below), whose sum is σ = 69038555040. Its totient is φ = 7268244480.

The previous prime is 23039762969. The next prime is 23039762983. The reversal of 23039762976 is 67926793032.

23039762976 is a `hidden beast` number, since 2 + 3 + 0 + 3 + 9 + 7 + 629 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (23039762969) and next prime (23039762983).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8102611 + ... + 8105453.

It is an arithmetic number, because the mean of its divisors is an integer number (479434410).

Almost surely, 223039762976 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 23039762976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34519277520).

23039762976 is an abundant number, since it is smaller than the sum of its proper divisors (45998792064).

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

23039762976 is a wasteful number, since it uses less digits than its factorization.

23039762976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 23039762976 in words is "twenty-three billion, thirty-nine million, seven hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1481 1824 2736 2843 2962 4443 5472 5686 5924 8529 8886 11372 11848 13329 17058 17772 22744 23696 25587 26658 28139 34116 35544 45488 47392 51174 53316 54017 56278 68232 71088 84417 90976 102348 106632 108034 112556 136464 142176 162051 168834 204696 213264 216068 225112 253251 272928 324102 337668 409392 426528 432136 450224 486153 506502 648204 675336 818784 864272 900448 972306 1013004 1296408 1350672 1728544 1944612 2026008 2592816 2701344 3889224 4052016 4210483 5185632 7778448 8104032 8420966 12631449 15556896 16841932 25262898 33683864 37894347 50525796 67367728 75788694 79999177 101051592 134735456 151577388 159998354 202103184 239997531 303154776 319996708 404206368 479995062 606309552 639993416 719992593 959990124 1212619104 1279986832 1439985186 1919980248 2559973664 2879970372 3839960496 5759940744 7679920992 11519881488 23039762976