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10604023680 = 2735311631093
BaseRepresentation
bin10011110000000110…
…01000111110000000
31000101000100012211210
421320003020332000
5133204112224210
64512121010120
7523530466635
oct117003107600
930330305753
1010604023680
114551770a38
12207b323940
13cccb94633
1472847618c
15420e22e20
hex2780c8f80

10604023680 has 256 divisors, whose sum is σ = 35136829440. Its totient is φ = 2717245440.

The previous prime is 10604023667. The next prime is 10604023723. The reversal of 10604023680 is 8632040601.

It is a super-2 number, since 2×106040236802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 9701214 + ... + 9702306.

It is an arithmetic number, because the mean of its divisors is an integer number (137253240).

Almost surely, 210604023680 is an apocalyptic number.

10604023680 is a gapful number since it is divisible by the number (10) 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 10604023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17568414720).

10604023680 is an abundant number, since it is smaller than the sum of its proper divisors (24532805760).

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

10604023680 is a wasteful number, since it uses less digits than its factorization.

10604023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10604023680 in words is "ten billion, six hundred four million, twenty-three thousand, six hundred eighty".