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23398066512 = 2433378211783
BaseRepresentation
bin10101110010101000…
…100010100101010000
32020101122120221012000
4111302220202211100
5340404401112022
614425433434000
71455553166232
oct256250424520
966348527160
1023398066512
119a17664757
12464bb6b900
13228b6a4692
1411bd70c252
1591e2406ac
hex572a22950

23398066512 has 160 divisors (see below), whose sum is σ = 69099029760. Its totient is φ = 7575068160.

The previous prime is 23398066511. The next prime is 23398066519. The reversal of 23398066512 is 21566089332.

23398066512 is a `hidden beast` number, since 23 + 39 + 80 + 6 + 6 + 512 = 666.

It is a super-2 number, since 2×233980665122 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23398066511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13121973 + ... + 13123755.

It is an arithmetic number, because the mean of its divisors is an integer number (431868936).

Almost surely, 223398066512 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 23398066512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549514880).

23398066512 is an abundant number, since it is smaller than the sum of its proper divisors (45700963248).

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

23398066512 is a wasteful number, since it uses less digits than its factorization.

23398066512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 23398066512 in words is "twenty-three billion, three hundred ninety-eight million, sixty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 821 888 999 1332 1642 1776 1783 1998 2463 2664 3284 3566 3996 4926 5328 5349 6568 7132 7389 7992 9852 10698 13136 14264 14778 15984 16047 19704 21396 22167 28528 29556 30377 32094 39408 42792 44334 48141 59112 60754 64188 65971 85584 88668 91131 96282 118224 121508 128376 131942 177336 182262 192564 197913 243016 256752 263884 273393 354672 364524 385128 395826 486032 527768 546786 593739 729048 770256 791652 820179 1055536 1093572 1187478 1458096 1463843 1583304 1640358 1781217 2187144 2374956 2927686 3166608 3280716 3562434 4374288 4391529 4749912 5855372 6561432 7124868 8783058 9499824 11710744 13122864 13174587 14249736 17566116 23421488 26349174 28499472 35132232 39523761 52698348 54162191 70264464 79047522 105396696 108324382 158095044 162486573 210793392 216648764 316190088 324973146 433297528 487459719 632380176 649946292 866595056 974919438 1299892584 1462379157 1949838876 2599785168 2924758314 3899677752 5849516628 7799355504 11699033256 23398066512