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23507163648 = 29325101381
BaseRepresentation
bin10101111001001000…
…101101101000000000
32020200020212122022200
4111321020231220000
5341120313214043
614444332033200
71461346410543
oct257110555000
966606778280
1023507163648
119a731a9a81
124680602800
1322a8181ab7
1411cddca85a
15928ae07d3
hex57922da00

23507163648 has 60 divisors (see below), whose sum is σ = 67843279218. Its totient is φ = 7835719680.

The previous prime is 23507163623. The next prime is 23507163683. The reversal of 23507163648 is 84636170532.

23507163648 is a `hidden beast` number, since 2 + 3 + 5 + 0 + 7 + 1 + 636 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23284318464 + 222845184 = 152592^2 + 14928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2546083 + ... + 2555298.

Almost surely, 223507163648 is an apocalyptic number.

It is an amenable number.

23507163648 is an abundant number, since it is smaller than the sum of its proper divisors (44336115570).

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

23507163648 is an equidigital number, since it uses as much as digits as its factorization.

23507163648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101405 (or 5101386 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 23507163648 in words is "twenty-three billion, five hundred seven million, one hundred sixty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 5101381 10202762 15304143 20405524 30608286 40811048 45912429 61216572 81622096 91824858 122433144 163244192 183649716 244866288 326488384 367299432 489732576 652976768 734598864 979465152 1305953536 1469197728 1958930304 2611907072 2938395456 3917860608 5876790912 7835721216 11753581824 23507163648