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54608790906 = 232173617509
BaseRepresentation
bin110010110110111100…
…000000010101111010
312012221210002000012100
4302312330000111322
51343314322302111
641030435524230
73642154030635
oct626674002572
9165853060170
1054608790906
112118326995a
12a700459676
1351c3847437
142900878c1c
1516492c2756
hexcb6f0057a

54608790906 has 48 divisors (see below), whose sum is σ = 125712685800. Its totient is φ = 17132141952.

The previous prime is 54608790871. The next prime is 54608790913. The reversal of 54608790906 is 60909780645.

54608790906 is a `hidden beast` number, since 5 + 460 + 8 + 7 + 90 + 90 + 6 = 666.

54608790906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 49490676225 + 5118114681 = 222465^2 + 71541^2 .

It is a Curzon 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, 220321 + ... + 397188.

Almost surely, 254608790906 is an apocalyptic number.

54608790906 is an abundant number, since it is smaller than the sum of its proper divisors (71103894894).

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

54608790906 is a wasteful number, since it uses less digits than its factorization.

54608790906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617568 (or 617531 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 54608790906 in words is "fifty-four billion, six hundred eight million, seven hundred ninety thousand, nine hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 4913 5202 9826 14739 29478 44217 88434 617509 1235018 1852527 3705054 5557581 10497653 11115162 20995306 31492959 62985918 94478877 178460101 188957754 356920202 535380303 1070760606 1606140909 3033821717 3212281818 6067643434 9101465151 18202930302 27304395453 54608790906