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10113700608 = 283311197001
BaseRepresentation
bin10010110101101001…
…01101001100000000
3222002211201020001000
421122310231030000
5131203101404413
64351323412000
7505425015414
oct113264551400
928084636030
1010113700608
11431aa13a60
121b63084000
13c5241a03b
146bd2bcd44
153e2d6c073
hex25ad2d300

10113700608 has 288 divisors, whose sum is σ = 34349011200. Its totient is φ = 2903040000.

The previous prime is 10113700603. The next prime is 10113700643. The reversal of 10113700608 is 80600731101.

10113700608 is a `hidden beast` number, since 10 + 11 + 37 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10113700603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441108 + ... + 1448108.

It is an arithmetic number, because the mean of its divisors is an integer number (119267400).

Almost surely, 210113700608 is an apocalyptic number.

10113700608 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 10113700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17174505600).

10113700608 is an abundant number, since it is smaller than the sum of its proper divisors (24235310592).

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

10113700608 is a wasteful number, since it uses less digits than its factorization.

10113700608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 10113700608 in words is "ten billion, one hundred thirteen million, seven hundred thousand, six hundred eight".