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10055954304 = 27361197101
BaseRepresentation
bin10010101110110000…
…11010111110000000
3221221211001102000000
421113120122332000
5131043311014204
64341502000000
7504124126014
oct112730327600
927854042000
1010055954304
1142a0362340
121b47876000
13c4347bb26
146b576a544
153dcc62039
hex25761af80

10055954304 has 448 divisors, whose sum is σ = 33432421680. Its totient is φ = 2985984000.

The previous prime is 10055954281. The next prime is 10055954341. The reversal of 10055954304 is 40345955001.

10055954304 is a `hidden beast` number, since 100 + 5 + 5 + 9 + 543 + 0 + 4 = 666.

It is a super-2 number, since 2×100559543042 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 99563854 + ... + 99563954.

Almost surely, 210055954304 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 10055954304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716210840).

10055954304 is an abundant number, since it is smaller than the sum of its proper divisors (23376467376).

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

10055954304 is an equidigital number, since it uses as much as digits as its factorization.

10055954304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 10055954304 in words is "ten billion, fifty-five million, nine hundred fifty-four thousand, three hundred four".