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10332427392 = 273471959127
BaseRepresentation
bin10011001111101110…
…00101010010000000
3222200002021200210000
421213313011102000
5132130100134032
64425135440000
7514022120010
oct114767052200
928602250700
1010332427392
1144224276a1
122004386000
13c88830081
14700377c40
15407174e7c
hex267dc5480

10332427392 has 640 divisors, whose sum is σ = 37914624000. Its totient is φ = 2727696384.

The previous prime is 10332427381. The next prime is 10332427409. The reversal of 10332427392 is 29372423301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81357633 + ... + 81357759.

It is an arithmetic number, because the mean of its divisors is an integer number (59241600).

Almost surely, 210332427392 is an apocalyptic number.

10332427392 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 10332427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18957312000).

10332427392 is an abundant number, since it is smaller than the sum of its proper divisors (27582196608).

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

10332427392 is a wasteful number, since it uses less digits than its factorization.

10332427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 10332427392 in words is "ten billion, three hundred thirty-two million, four hundred twenty-seven thousand, three hundred ninety-two".