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55379077056 = 2633172173641
BaseRepresentation
bin110011100100110110…
…011010011111000000
312021221110111121011000
4303210312122133000
51401404020431211
641235113452000
74000226250102
oct634466323700
9167843447130
1055379077056
1121539055286
12a896411000
1352b72c5664
142974cab572
151691c2a656
hexce4d9a7c0

55379077056 has 336 divisors, whose sum is σ = 174215328480. Its totient is φ = 17246453760.

The previous prime is 55379077049. The next prime is 55379077067. The reversal of 55379077056 is 65077097355.

55379077056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 55379076993 and 55379077011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86394496 + ... + 86395136.

Almost surely, 255379077056 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 55379077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87107664240).

55379077056 is an abundant number, since it is smaller than the sum of its proper divisors (118836251424).

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

55379077056 is a wasteful number, since it uses less digits than its factorization.

55379077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 6945750, while the sum is 54.

The spelling of 55379077056 in words is "fifty-five billion, three hundred seventy-nine million, seventy-seven thousand, fifty-six".