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22957687368 = 233272112920399
BaseRepresentation
bin10101011000011000…
…101000001001001000
32012020221221100120100
4111120120220021020
5334004131443433
614314022525400
71441625060100
oct253030501110
965227840510
1022957687368
11981101a350
124548596860
13221b395ac5
14117b036200
158e5752b13
hex558628248

22957687368 has 288 divisors, whose sum is σ = 81628560000. Its totient is φ = 5757131520.

The previous prime is 22957687331. The next prime is 22957687387. The reversal of 22957687368 is 86378675922.

22957687368 is a `hidden beast` number, since 2 + 29 + 576 + 8 + 7 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115233 + ... + 1135631.

It is an arithmetic number, because the mean of its divisors is an integer number (283432500).

Almost surely, 222957687368 is an apocalyptic number.

22957687368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22957687368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814280000).

22957687368 is an abundant number, since it is smaller than the sum of its proper divisors (58670872632).

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

22957687368 is a wasteful number, since it uses less digits than its factorization.

22957687368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20465 (or 20451 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 22957687368 in words is "twenty-two billion, nine hundred fifty-seven million, six hundred eighty-seven thousand, three hundred sixty-eight".