Search a number
-
+
55155249072 = 243272111741801
BaseRepresentation
bin110011010111100000…
…100100111110110000
312021100212022221212200
4303113200210332300
51400424220432242
641201000223200
73661540611300
oct632740447660
9167325287780
1055155249072
1121433777a80
12a83346ab00
13527cb17771
142953285600
15167c26604c
hexcd7824fb0

55155249072 has 360 divisors, whose sum is σ = 207410488272. Its totient is φ = 13483008000.

The previous prime is 55155249049. The next prime is 55155249101. The reversal of 55155249072 is 27094255155.

55155249072 is a `hidden beast` number, since 5 + 5 + 1 + 552 + 4 + 90 + 7 + 2 = 666.

55155249072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551552490722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1298572 + ... + 1340372.

Almost surely, 255155249072 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 55155249072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103705244136).

55155249072 is an abundant number, since it is smaller than the sum of its proper divisors (152255239200).

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

55155249072 is a wasteful number, since it uses less digits than its factorization.

55155249072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41857 (or 41841 counting only the distinct ones).

The product of its (nonzero) digits is 630000, while the sum is 45.

The spelling of 55155249072 in words is "fifty-five billion, one hundred fifty-five million, two hundred forty-nine thousand, seventy-two".