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21939255039240 = 233257311231993529
BaseRepresentation
bin1001111110100001000011…
…00000001101010100001000
32212200101001101221121211100
410333100201200031110020
510333423043242223430
6114354430555501400
74423026122622000
oct477204140152410
985611041847740
1021939255039240
116a99427572810
122563b84157860
13c31b2a969036
1455bc19339000
15280a5500b960
hex13f42180d508

21939255039240 has 1536 divisors, whose sum is σ = 95157504000000. Its totient is φ = 4337455288320.

The previous prime is 21939255039181. The next prime is 21939255039301. The reversal of 21939255039240 is 4293055293912.

21939255039240 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 9 + 2 + 5 + 503 + 92 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6216845796 + ... + 6216849324.

It is an arithmetic number, because the mean of its divisors is an integer number (61951500000).

Almost surely, 221939255039240 is an apocalyptic number.

21939255039240 is a gapful number since it is divisible by the number (20) 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 21939255039240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47578752000000).

21939255039240 is an abundant number, since it is smaller than the sum of its proper divisors (73218248960760).

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

21939255039240 is a wasteful number, since it uses less digits than its factorization.

21939255039240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 21939255039240 in words is "twenty-one trillion, nine hundred thirty-nine billion, two hundred fifty-five million, thirty-nine thousand, two hundred forty".