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55813552704 = 2632731331701
BaseRepresentation
bin110011111110101111…
…110011101001000000
312100001202001020200200
4303332233303221000
51403301232141304
641350154045200
74014053241000
oct637657635100
9170052036620
1055813552704
1121741328268
12a997a19800
135356318140
1429b6888000
1516b9e4de39
hexcfebf3a40

55813552704 has 672 divisors, whose sum is σ = 207693158400. Its totient is φ = 14224896000.

The previous prime is 55813552661. The next prime is 55813552709. The reversal of 55813552704 is 40725531855.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 55813552704.

It is not an unprimeable number, because it can be changed into a prime (55813552709) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79619554 + ... + 79620254.

It is an arithmetic number, because the mean of its divisors is an integer number (309067200).

Almost surely, 255813552704 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 55813552704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103846579200).

55813552704 is an abundant number, since it is smaller than the sum of its proper divisors (151879605696).

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

55813552704 is a wasteful number, since it uses less digits than its factorization.

55813552704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 55813552704 in words is "fifty-five billion, eight hundred thirteen million, five hundred fifty-two thousand, seven hundred four".