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55562008320 = 283557132151
BaseRepresentation
bin110011101111110000…
…001111011100000000
312022102012201110200000
4303233300033130000
51402242333231240
641305210400000
74004610164310
oct635760173400
9168365643600
1055562008320
112162233a245
12a927730000
135316184800
1429912c9440
1516a2d12430
hexcefc0f700

55562008320 has 1296 divisors, whose sum is σ = 248346588672. Its totient is φ = 11645337600.

The previous prime is 55562008289. The next prime is 55562008349. The reversal of 55562008320 is 2380026555.

It is a happy number.

55562008320 is a `hidden beast` number, since 5 + 5 + 5 + 620 + 0 + 8 + 3 + 20 = 666.

55562008320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 367960245 + ... + 367960395.

Almost surely, 255562008320 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 55562008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124173294336).

55562008320 is an abundant number, since it is smaller than the sum of its proper divisors (192784580352).

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

55562008320 is a wasteful number, since it uses less digits than its factorization.

55562008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 55562008320 in words is "fifty-five billion, five hundred sixty-two million, eight thousand, three hundred twenty".