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55283641920 = 26325132959863
BaseRepresentation
bin110011011111001010…
…010110111001000000
312021200210220222202100
4303133022112321000
51401210103020140
641221424150400
73664660126413
oct633712267100
9167623828670
1055283641920
112149a1a1471
12a86a468400
1352a05bc870
142966347b7a
151688678530
hexcdf296e40

55283641920 has 672 divisors, whose sum is σ = 215681356800. Its totient is φ = 12901367808.

The previous prime is 55283641837. The next prime is 55283641927. The reversal of 55283641920 is 2914638255.

55283641920 is a `hidden beast` number, since 5 + 528 + 36 + 4 + 1 + 92 + 0 = 666.

55283641920 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 (45).

It is not an unprimeable number, because it can be changed into a prime (55283641927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64059409 + ... + 64060271.

It is an arithmetic number, because the mean of its divisors is an integer number (320954400).

Almost surely, 255283641920 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 55283641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107840678400).

55283641920 is an abundant number, since it is smaller than the sum of its proper divisors (160397714880).

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

55283641920 is a wasteful number, since it uses less digits than its factorization.

55283641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55283641920 in words is "fifty-five billion, two hundred eighty-three million, six hundred forty-one thousand, nine hundred twenty".