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8918939568 = 243711171931241
BaseRepresentation
bin10000100111001110…
…00011011110110000
3212000120120002000010
420103213003132300
5121231222031233
64033003454520
7434006510160
oct102347033660
925016502003
108918939568
113867566340
12188ab27440
13ac1a3b346
146087545a0
15373018b63
hex2139c37b0

8918939568 has 640 divisors, whose sum is σ = 33186447360. Its totient is φ = 1990656000.

The previous prime is 8918939543. The next prime is 8918939573. The reversal of 8918939568 is 8659398198.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 8918939499 and 8918939508.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37007928 + ... + 37008168.

It is an arithmetic number, because the mean of its divisors is an integer number (51853824).

Almost surely, 28918939568 is an apocalyptic number.

8918939568 is a gapful number since it is divisible by the number (88) 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 8918939568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

8918939568 is an abundant number, since it is smaller than the sum of its proper divisors (24267507792).

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

8918939568 is a wasteful number, since it uses less digits than its factorization.

8918939568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 66.

The square root of 8918939568 is about 94440.1374840168. The cubic root of 8918939568 is about 2073.8200728135.

The spelling of 8918939568 in words is "eight billion, nine hundred eighteen million, nine hundred thirty-nine thousand, five hundred sixty-eight".