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55932484608 = 21033711134347
BaseRepresentation
bin110100000101110101…
…011111110000000000
312100101000211121121000
4310011311133300000
51404022204001413
641410043132000
74020026163150
oct640565376000
9170330747530
1055932484608
11217a247a5a0
12aa0b814000
135374b59b50
1429c85a6760
1516c55e3073
hexd05d5fc00

55932484608 has 1408 divisors, whose sum is σ = 232418672640. Its totient is φ = 12819824640.

The previous prime is 55932484603. The next prime is 55932484613. The reversal of 55932484608 is 80648423955.

55932484608 is a `hidden beast` number, since 5 + 5 + 9 + 3 + 24 + 8 + 4 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (55932484603) and next prime (55932484613).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55932484603) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1190052841 + ... + 1190052887.

It is an arithmetic number, because the mean of its divisors is an integer number (165070080).

Almost surely, 255932484608 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 55932484608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116209336320).

55932484608 is an abundant number, since it is smaller than the sum of its proper divisors (176486188032).

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

55932484608 is a wasteful number, since it uses less digits than its factorization.

55932484608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 55932484608 in words is "fifty-five billion, nine hundred thirty-two million, four hundred eighty-four thousand, six hundred eight".