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55208027952 = 24347211174649
BaseRepresentation
bin110011011010101001…
…111010011100110000
312021111112122101220000
4303122221322130300
51401031223343302
641210123350000
73663051331500
oct633251723460
9167445571800
1055208027952
1121460546590
12a849082300
13528aa3697c
14295a2a3a00
151681bde31c
hexcdaa7a730

55208027952 has 600 divisors, whose sum is σ = 214747750800. Its totient is φ = 13493329920.

The previous prime is 55208027951. The next prime is 55208028011. The reversal of 55208027952 is 25972080255.

55208027952 is a `hidden beast` number, since 5 + 520 + 8 + 0 + 2 + 79 + 52 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55208027898 and 55208027907.

It is not an unprimeable number, because it can be changed into a prime (55208027951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11872924 + ... + 11877572.

It is an arithmetic number, because the mean of its divisors is an integer number (357912918).

Almost surely, 255208027952 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 55208027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107373875400).

55208027952 is an abundant number, since it is smaller than the sum of its proper divisors (159539722848).

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

55208027952 is a wasteful number, since it uses less digits than its factorization.

55208027952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4711 (or 4689 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 55208027952 in words is "fifty-five billion, two hundred eight million, twenty-seven thousand, nine hundred fifty-two".