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10019097088 = 2971113113173
BaseRepresentation
bin10010101010010111…
…10100101000000000
3221212020200212101221
421111023310220000
5131004342101323
64334104004424
7503165630410
oct112513645000
927766625357
1010019097088
114281578a30
121b37460714
13c38945920
146b08d4640
153d98d155d
hex2552f4a00

10019097088 has 320 divisors, whose sum is σ = 27272754432. Its totient is φ = 3550740480.

The previous prime is 10019097083. The next prime is 10019097107. The reversal of 10019097088 is 88079091001.

It is not an unprimeable number, because it can be changed into a prime (10019097083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57913770 + ... + 57913942.

Almost surely, 210019097088 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 10019097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636377216).

10019097088 is an abundant number, since it is smaller than the sum of its proper divisors (17253657344).

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

10019097088 is a wasteful number, since it uses less digits than its factorization.

10019097088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 43.

The spelling of 10019097088 in words is "ten billion, nineteen million, ninety-seven thousand, eighty-eight".