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11917393920 = 216345449
BaseRepresentation
bin10110001100101010…
…10000000000000000
31010202112200100010000
423012111100000000
5143401323101140
65250315040000
7601216114455
oct130625200000
933675610100
1011917393920
115066070493
122387140000
13117c0011a3
14810a7782c
1549b3a4a30
hex2c6550000

11917393920 has 340 divisors, whose sum is σ = 42820895700. Its totient is φ = 3170893824.

The previous prime is 11917393879. The next prime is 11917393937. The reversal of 11917393920 is 2939371911.

11917393920 is a `hidden beast` number, since 1 + 191 + 73 + 9 + 392 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5780865024 + 6136528896 = 76032^2 + 78336^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26541856 + ... + 26542304.

Almost surely, 211917393920 is an apocalyptic number.

11917393920 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 11917393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410447850).

11917393920 is an abundant number, since it is smaller than the sum of its proper divisors (30903501780).

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

11917393920 is an frugal number, since it uses more digits than its factorization.

11917393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 11917393920 in words is "eleven billion, nine hundred seventeen million, three hundred ninety-three thousand, nine hundred twenty".