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23394978368 = 26292974481
BaseRepresentation
bin10101110010011100…
…110000101001000000
32020101102210001001022
4111302130300221000
5340403103301433
614425243325012
71455515015006
oct256234605100
966342701038
1023394978368
119a15945573
12464ab20768
13228ab62b88
1411bd146a76
1591dd30698
hex572730a40

23394978368 has 84 divisors (see below), whose sum is σ = 48586968612. Its totient is φ = 11175198720.

The previous prime is 23394978353. The next prime is 23394978371. The reversal of 23394978368 is 86387949332.

It can be written as a sum of positive squares in 6 ways, for example, as 523860544 + 22871117824 = 22888^2 + 151232^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23394978368.

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, 5218688 + ... + 5223168.

It is an arithmetic number, because the mean of its divisors is an integer number (578416293).

Almost surely, 223394978368 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 23394978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24293484306).

23394978368 is an abundant number, since it is smaller than the sum of its proper divisors (25191990244).

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

23394978368 is an equidigital number, since it uses as much as digits as its factorization.

23394978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4609 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 62.

The spelling of 23394978368 in words is "twenty-three billion, three hundred ninety-four million, nine hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 97 116 194 232 388 464 776 841 928 1552 1682 1856 2813 3104 3364 4481 5626 6208 6728 8962 11252 13456 17924 22504 26912 35848 45008 53824 71696 81577 90016 129949 143392 163154 180032 259898 286784 326308 434657 519796 652616 869314 1039592 1305232 1738628 2079184 2610464 3477256 3768521 4158368 5220928 6954512 7537042 8316736 12605053 13909024 15074084 25210106 27818048 30148168 50420212 60296336 100840424 120592672 201680848 241185344 365546537 403361696 731093074 806723392 1462186148 2924372296 5848744592 11697489184 23394978368