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55098419760 = 24325373076737
BaseRepresentation
bin110011010100000111…
…110010101000110000
312021012220101201201100
4303110013302220300
51400320143413020
641151210204400
73660250561206
oct632407625060
9167186351640
1055098419760
11214046922aa
12a818423700
13527110aa57
1429498d1076
15167728ca90
hexcd41f2a30

55098419760 has 240 divisors, whose sum is σ = 190687232736. Its totient is φ = 14247124992.

The previous prime is 55098419759. The next prime is 55098419767. The reversal of 55098419760 is 6791489055.

55098419760 is a `hidden beast` number, since 5 + 509 + 8 + 41 + 97 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 55098419697 and 55098419706.

It is not an unprimeable number, because it can be changed into a prime (55098419767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8175112 + ... + 8181848.

Almost surely, 255098419760 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 55098419760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95343616368).

55098419760 is an abundant number, since it is smaller than the sum of its proper divisors (135588812976).

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

55098419760 is a wasteful number, since it uses less digits than its factorization.

55098419760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7100 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 55098419760 in words is "fifty-five billion, ninety-eight million, four hundred nineteen thousand, seven hundred sixty".