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55549120032 = 2533717261521
BaseRepresentation
bin110011101110111111…
…000100111000100000
312022101022110200021000
4303232333010320200
51402231033320112
641304030232000
74004362505160
oct635677047040
9168338420230
1055549120032
112161603706a
12a923355600
1353135c13c3
14298d6d25a0
1516a1b187dc
hexceefc4e20

55549120032 has 576 divisors, whose sum is σ = 200304679680. Its totient is φ = 14664499200.

The previous prime is 55549119949. The next prime is 55549120057. The reversal of 55549120032 is 23002194555.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106619932 + ... + 106620452.

It is an arithmetic number, because the mean of its divisors is an integer number (347751180).

Almost surely, 255549120032 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 55549120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100152339840).

55549120032 is an abundant number, since it is smaller than the sum of its proper divisors (144755559648).

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

55549120032 is a wasteful number, since it uses less digits than its factorization.

55549120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 55549120032 in words is "fifty-five billion, five hundred forty-nine million, one hundred twenty thousand, thirty-two".