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55364124672 = 2153517409
BaseRepresentation
bin110011100011111101…
…011000000000000000
312021220102100221100000
4303203331120000000
51401341203442142
641233421200000
73666655203123
oct634375300000
9167812327300
1055364124672
112153067233a
12a891400000
1352b418b8ac
142972cd83ba
15169077514c
hexce3f58000

55364124672 has 384 divisors, whose sum is σ = 176047981200. Its totient is φ = 17326669824.

The previous prime is 55364124659. The next prime is 55364124703. The reversal of 55364124672 is 27642146355.

55364124672 is a `hidden beast` number, since 5 + 536 + 4 + 1 + 2 + 46 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135364404 + ... + 135364812.

Almost surely, 255364124672 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 55364124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88023990600).

55364124672 is an abundant number, since it is smaller than the sum of its proper divisors (120683856528).

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

55364124672 is an frugal number, since it uses more digits than its factorization.

55364124672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 431 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 55364124672 in words is "fifty-five billion, three hundred sixty-four million, one hundred twenty-four thousand, six hundred seventy-two".