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55368815040 = 263257111719773
BaseRepresentation
bin110011100100001111…
…010001000111000000
312021220202012020022100
4303210033101013000
51401343404040130
641234105510400
74000043106510
oct634417210700
9167822166270
1055368815040
1121533286280
12a892aa2400
1352b5141766
142973799840
151690d9ec60
hexce43d11c0

55368815040 has 1344 divisors, whose sum is σ = 264979952640. Its totient is φ = 10245242880.

The previous prime is 55368815039. The next prime is 55368815053. The reversal of 55368815040 is 4051886355.

55368815040 is a `hidden beast` number, since 5 + 5 + 3 + 68 + 81 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 71628094 + ... + 71628866.

Almost surely, 255368815040 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 55368815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132489976320).

55368815040 is an abundant number, since it is smaller than the sum of its proper divisors (209611137600).

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

55368815040 is a wasteful number, since it uses less digits than its factorization.

55368815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 55368815040 in words is "fifty-five billion, three hundred sixty-eight million, eight hundred fifteen thousand, forty".