Search a number
-
+
55425457920 = 283575094051
BaseRepresentation
bin110011100111100111…
…010101111100000000
312022001200202222201210
4303213213111330000
51402002404123140
641243451530120
74001331422220
oct634747257400
9168050688653
1055425457920
1121562253978
12a8a9a59940
1352c3ab4661
14297b102080
151695d3cd80
hexce79d5f00

55425457920 has 288 divisors, whose sum is σ = 202750410240. Its totient is φ = 12640665600.

The previous prime is 55425457853. The next prime is 55425457931. The reversal of 55425457920 is 2975452455.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55425457920.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13679895 + ... + 13683945.

It is an arithmetic number, because the mean of its divisors is an integer number (703994480).

Almost surely, 255425457920 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 55425457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101375205120).

55425457920 is an abundant number, since it is smaller than the sum of its proper divisors (147324952320).

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

55425457920 is a wasteful number, since it uses less digits than its factorization.

55425457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 48.

The spelling of 55425457920 in words is "fifty-five billion, four hundred twenty-five million, four hundred fifty-seven thousand, nine hundred twenty".