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55415162880 = 21133571119137
BaseRepresentation
bin110011100111000000…
…000100100000000000
312022000222101221121000
4303213000010200000
51401442240203010
641242443132000
74001145053430
oct634700044000
9168028357530
1055415162880
1121557462080
12a8a6514000
1352c191b70c
1429799c22c0
151694ea77c0
hexce7004800

55415162880 has 1536 divisors, whose sum is σ = 260402688000. Its totient is φ = 10829168640.

The previous prime is 55415162867. The next prime is 55415162909. The reversal of 55415162880 is 8826151455.

55415162880 is a `hidden beast` number, since 5 + 5 + 4 + 15 + 1 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 404490172 + ... + 404490308.

It is an arithmetic number, because the mean of its divisors is an integer number (169533000).

Almost surely, 255415162880 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 55415162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130201344000).

55415162880 is an abundant number, since it is smaller than the sum of its proper divisors (204987525120).

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

55415162880 is a wasteful number, since it uses less digits than its factorization.

55415162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 55415162880 in words is "fifty-five billion, four hundred fifteen million, one hundred sixty-two thousand, eight hundred eighty".