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55655441820 = 223551119157349
BaseRepresentation
bin110011110101010100…
…101010010110011100
312022122201112101100000
4303311110222112130
51402440243114240
641322345134300
74010123310216
oct636524522634
9168581471300
1055655441820
1121670056210
12a952a8a390
13532c6394c4
14299d88b5b6
1516ab11b430
hexcf552a59c

55655441820 has 576 divisors, whose sum is σ = 202902336000. Its totient is φ = 12664304640.

The previous prime is 55655441819. The next prime is 55655441861. The reversal of 55655441820 is 2814455655.

55655441820 is a `hidden beast` number, since 5 + 56 + 554 + 41 + 8 + 2 + 0 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 159471006 + ... + 159471354.

It is an arithmetic number, because the mean of its divisors is an integer number (352261000).

Almost surely, 255655441820 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 55655441820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101451168000).

55655441820 is an abundant number, since it is smaller than the sum of its proper divisors (147246894180).

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

55655441820 is a wasteful number, since it uses less digits than its factorization.

55655441820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 55655441820 in words is "fifty-five billion, six hundred fifty-five million, four hundred forty-one thousand, eight hundred twenty".