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23469801408 = 263331438131
BaseRepresentation
bin10101110110111010…
…001011111111000000
32020120122120102222000
4111312322023333000
5341031232121113
614440515144000
71460414006664
oct256672137700
966518512860
1023469801408
119a54100199
12466bba5000
1322a04cca71
1411c90628a4
159256b0373
hex576e8bfc0

23469801408 has 112 divisors (see below), whose sum is σ = 71222737920. Its totient is φ = 7570886400.

The previous prime is 23469801389. The next prime is 23469801431. The reversal of 23469801408 is 80410896432.

It is a happy number.

23469801408 is a `hidden beast` number, since 234 + 6 + 9 + 8 + 0 + 1 + 408 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165498 + ... + 272633.

Almost surely, 223469801408 is an apocalyptic number.

It is an amenable number.

23469801408 is an abundant number, since it is smaller than the sum of its proper divisors (47752936512).

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

23469801408 is a wasteful number, since it uses less digits than its factorization.

23469801408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438183 (or 438167 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 23469801408 in words is "twenty-three billion, four hundred sixty-nine million, eight hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 438131 876262 1314393 1752524 2628786 3505048 3943179 5257572 7010096 7886358 10515144 11829537 13582061 14020192 15772716 21030288 23659074 27164122 28040384 31545432 40746183 42060576 47318148 54328244 63090864 81492366 84121152 94636296 108656488 122238549 126181728 162984732 189272592 217312976 244477098 252363456 325969464 366715647 378545184 434625952 488954196 651938928 733431294 757090368 869251904 977908392 1303877856 1466862588 1955816784 2607755712 2933725176 3911633568 5867450352 7823267136 11734900704 23469801408