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55039083840 = 26325135327737
BaseRepresentation
bin110011010000100101…
…011100010101000000
312021001202202011010200
4303100211130111000
51400210001140330
641141250325200
73655630331166
oct632045342500
9167052664120
1055039083840
1121384145354
12a800589800
135261a34140
142941a87236
151671e6ba60
hexcd095c540

55039083840 has 336 divisors, whose sum is σ = 207728106768. Its totient is φ = 13291978752.

The previous prime is 55039083809. The next prime is 55039083857. The reversal of 55039083840 is 4838093055.

It is a happy number.

55039083840 is a `hidden beast` number, since 550 + 3 + 90 + 8 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 238146624 + 54800937216 = 15432^2 + 234096^2 .

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 47 ways as a sum of consecutive naturals, for example, 1970452 + ... + 1998188.

It is an arithmetic number, because the mean of its divisors is an integer number (618238413).

Almost surely, 255039083840 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 55039083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103864053384).

55039083840 is an abundant number, since it is smaller than the sum of its proper divisors (152689022928).

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

55039083840 is a wasteful number, since it uses less digits than its factorization.

55039083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27826 (or 27813 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55039083840 in words is "fifty-five billion, thirty-nine million, eighty-three thousand, eight hundred forty".