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23030468352 = 283246121683
BaseRepresentation
bin10101011100101110…
…010000111100000000
32012110000220000022100
4111130232100330000
5334131244441402
614325142510400
71443500515413
oct253456207400
965400800270
1023030468352
11984910a821
124568a35400
132230499388
14118697db7a
158ebd2c71c
hex55cb90f00

23030468352 has 108 divisors (see below), whose sum is σ = 66549627144. Its totient is φ = 7659816960.

The previous prime is 23030468273. The next prime is 23030468369. The reversal of 23030468352 is 25386403032.

It is a happy number.

23030468352 is a `hidden beast` number, since 230 + 30 + 46 + 8 + 352 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1051303 + ... + 1072985.

Almost surely, 223030468352 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 23030468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33274813572).

23030468352 is an abundant number, since it is smaller than the sum of its proper divisors (43519158792).

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

23030468352 is a wasteful number, since it uses less digits than its factorization.

23030468352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22166 (or 22149 counting only the distinct ones).

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

The spelling of 23030468352 in words is "twenty-three billion, thirty million, four hundred sixty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 461 576 768 922 1152 1383 1844 2304 2766 3688 4149 5532 7376 8298 11064 14752 16596 21683 22128 29504 33192 43366 44256 59008 65049 66384 86732 88512 118016 130098 132768 173464 177024 195147 260196 265536 346928 354048 390294 520392 531072 693856 780588 1040784 1062144 1387712 1561176 2081568 2775424 3122352 4163136 5550848 6244704 8326272 9995863 12489408 16652544 19991726 24978816 29987589 39983452 49957632 59975178 79966904 89962767 119950356 159933808 179925534 239900712 319867616 359851068 479801424 639735232 719702136 959602848 1279470464 1439404272 1919205696 2558940928 2878808544 3838411392 5757617088 7676822784 11515234176 23030468352