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10349407960 = 235275393983
BaseRepresentation
bin10011010001101111…
…10110111011011000
3222201021020101201221
421220313312323120
5132143422023320
64430543421424
7514316342023
oct115067667330
928637211657
1010349407960
114430a75421
122009bb4874
13c8c1c7048
147027181ba
154088cb3aa
hex268df6ed8

10349407960 has 32 divisors (see below), whose sum is σ = 23294874240. Its totient is φ = 4138215424.

The previous prime is 10349407949. The next prime is 10349407961. The reversal of 10349407960 is 6970494301.

It is a super-2 number, since 2×103494079602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349407961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63129 + ... + 157111.

It is an arithmetic number, because the mean of its divisors is an integer number (727964820).

Almost surely, 210349407960 is an apocalyptic number.

10349407960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10349407960 is an abundant number, since it is smaller than the sum of its proper divisors (12945466280).

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

10349407960 is a wasteful number, since it uses less digits than its factorization.

10349407960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96747 (or 96743 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 10349407960 in words is "ten billion, three hundred forty-nine million, four hundred seven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2753 5506 11012 13765 22024 27530 55060 93983 110120 187966 375932 469915 751864 939830 1879660 3759320 258735199 517470398 1034940796 1293675995 2069881592 2587351990 5174703980 10349407960