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10028596968 = 23321331577599
BaseRepresentation
bin10010101011100000…
…00011111011101000
3221212220120111210100
421111300003323220
5131014310100333
64335043345400
7503342445015
oct112560037350
927786514710
1010028596968
114286977375
121b3a682260
13c3a8c0960
146b1c8870c
153da65b213
hex255c03ee8

10028596968 has 192 divisors, whose sum is σ = 30296448000. Its totient is φ = 2976030720.

The previous prime is 10028596961. The next prime is 10028596997. The reversal of 10028596968 is 86969582001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10028596961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16741933 + ... + 16742531.

It is an arithmetic number, because the mean of its divisors is an integer number (157794000).

Almost surely, 210028596968 is an apocalyptic number.

10028596968 is a gapful number since it is divisible by the number (18) 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 10028596968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148224000).

10028596968 is an abundant number, since it is smaller than the sum of its proper divisors (20267851032).

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

10028596968 is a wasteful number, since it uses less digits than its factorization.

10028596968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10028596968 in words is "ten billion, twenty-eight million, five hundred ninety-six thousand, nine hundred sixty-eight".