Search a number
-
+
55062038304 = 253371319293141
BaseRepresentation
bin110011010001111101…
…000000011100100000
312021010100221100202000
4303101331000130200
51400231340211204
641143430324000
73656326413630
oct632175003440
9167110840660
1055062038304
11213960a3389
12a8081b9600
135266710270
142944b406c0
151673ea3039
hexcd1f40720

55062038304 has 1536 divisors, whose sum is σ = 227598336000. Its totient is φ = 12541132800.

The previous prime is 55062038287. The next prime is 55062038309. The reversal of 55062038304 is 40383026055.

It is a happy number.

55062038304 is a `hidden beast` number, since 550 + 6 + 20 + 3 + 83 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55062038309) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1342976524 + ... + 1342976564.

It is an arithmetic number, because the mean of its divisors is an integer number (148176000).

Almost surely, 255062038304 is an apocalyptic number.

55062038304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55062038304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168000).

55062038304 is an abundant number, since it is smaller than the sum of its proper divisors (172536297696).

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

55062038304 is a wasteful number, since it uses less digits than its factorization.

55062038304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 55062038304 in words is "fifty-five billion, sixty-two million, thirty-eight thousand, three hundred four".