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10490622912 = 26327111959211
BaseRepresentation
bin10011100010100101…
…00011001111000000
31000002002221212020100
421301102203033000
5132441044413122
64452550242400
7520652552310
oct116122431700
930062855210
1010490622912
1144a37572a0
122049356400
13cb253b3a3
14717397440
15415ec2aac
hex2714a33c0

10490622912 has 672 divisors, whose sum is σ = 40321382400. Its totient is φ = 2525644800.

The previous prime is 10490622907. The next prime is 10490622929. The reversal of 10490622912 is 21922609401.

10490622912 is a `hidden beast` number, since 10 + 4 + 9 + 0 + 622 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×104906229122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49718487 + ... + 49718697.

Almost surely, 210490622912 is an apocalyptic number.

10490622912 is a gapful number since it is divisible by the number (12) 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 10490622912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20160691200).

10490622912 is an abundant number, since it is smaller than the sum of its proper divisors (29830759488).

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

10490622912 is a wasteful number, since it uses less digits than its factorization.

10490622912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10490622912 in words is "ten billion, four hundred ninety million, six hundred twenty-two thousand, nine hundred twelve".