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55943727840 = 253357111317761
BaseRepresentation
bin110100000110100000…
…011000101011100000
312100101210222211102000
4310012200120223200
51404033043242330
641411124124000
74020223561230
oct640640305340
9170353884360
1055943727840
11217a8859820
12aa13536600
135377295550
1429c9c91cc0
1516c65b4560
hexd06818ae0

55943727840 has 1536 divisors, whose sum is σ = 278726676480. Its totient is φ = 10085990400.

The previous prime is 55943727817. The next prime is 55943727841. The reversal of 55943727840 is 4872734955.

It is a happy number.

55943727840 is a `hidden beast` number, since 5 + 594 + 3 + 7 + 2 + 7 + 8 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55943727841) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 73513060 + ... + 73513820.

It is an arithmetic number, because the mean of its divisors is an integer number (181462680).

Almost surely, 255943727840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55943727840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139363338240).

55943727840 is an abundant number, since it is smaller than the sum of its proper divisors (222782948640).

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

55943727840 is a wasteful number, since it uses less digits than its factorization.

55943727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 55943727840 in words is "fifty-five billion, nine hundred forty-three million, seven hundred twenty-seven thousand, eight hundred forty".