Search a number
-
+
55157345280 = 210355431031
BaseRepresentation
bin110011010111101000…
…100100110000000000
312021101000021110100000
4303113220210300000
51400430240022110
641201113200000
73661564461552
oct632750446000
9167330243300
1055157345280
1121434979984
12a834100000
13528039c91b
14295366d4d2
15167c52c1c0
hexcd7a24c00

55157345280 has 528 divisors, whose sum is σ = 203003184384. Its totient is φ = 14352629760.

The previous prime is 55157345263. The next prime is 55157345303. The reversal of 55157345280 is 8254375155.

55157345280 is a `hidden beast` number, since 5 + 51 + 5 + 73 + 4 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 53498365 + ... + 53499395.

It is an arithmetic number, because the mean of its divisors is an integer number (384475728).

Almost surely, 255157345280 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 55157345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101501592192).

55157345280 is an abundant number, since it is smaller than the sum of its proper divisors (147845839104).

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

55157345280 is a wasteful number, since it uses less digits than its factorization.

55157345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 55157345280 in words is "fifty-five billion, one hundred fifty-seven million, three hundred forty-five thousand, two hundred eighty".