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922680944640 = 2113357213331
BaseRepresentation
bin11010110110101000001…
…00011110100000000000
310021012121012222110011000
431123110010132200000
5110104122310212030
61543512422452000
7123442615424400
oct15332404364000
93235535873130
10922680944640
11326341380244
1212a9a3b94000
1369015708000
143292d780800
1519003816860
hexd6d411e800

922680944640 has 2304 divisors, whose sum is σ = 4266452736000. Its totient is φ = 188395683840.

The previous prime is 922680944629. The next prime is 922680944657. The reversal of 922680944640 is 46449086229.

922680944640 is a `hidden beast` number, since 92 + 2 + 6 + 8 + 0 + 94 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29763901425 + ... + 29763901455.

It is an arithmetic number, because the mean of its divisors is an integer number (1851759000).

Almost surely, 2922680944640 is an apocalyptic number.

922680944640 is a gapful number since it is divisible by the number (90) 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 922680944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133226368000).

922680944640 is an abundant number, since it is smaller than the sum of its proper divisors (3343771791360).

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

922680944640 is a wasteful number, since it uses less digits than its factorization.

922680944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 922680944640 in words is "nine hundred twenty-two billion, six hundred eighty million, nine hundred forty-four thousand, six hundred forty".