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10049427650808 = 23337138323326437
BaseRepresentation
bin1001001000111101000010…
…0100001011100011111000
31022120201022220002001222000
42102033100210023203320
52304122211434311213
633212350543101000
72055022120423440
oct222172044134370
938521286061860
1010049427650808
113224a35a14707
121163790ba1760
1357b870461290
1426a575833120
1512661e42cc73
hex923d090b8f8

10049427650808 has 512 divisors, whose sum is σ = 34921510041600. Its totient is φ = 2607129317376.

The previous prime is 10049427650797. The next prime is 10049427650827. The reversal of 10049427650808 is 80805672494001.

It is a happy number.

10049427650808 is a `hidden beast` number, since 1 + 0 + 0 + 494 + 2 + 76 + 5 + 0 + 80 + 8 = 666.

It is a super-2 number, since 2×100494276508082 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380114166 + ... + 380140602.

It is an arithmetic number, because the mean of its divisors is an integer number (68206074300).

Almost surely, 210049427650808 is an apocalyptic number.

10049427650808 is a gapful number since it is divisible by the number (18) 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 10049427650808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460755020800).

10049427650808 is an abundant number, since it is smaller than the sum of its proper divisors (24872082390792).

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

10049427650808 is a wasteful number, since it uses less digits than its factorization.

10049427650808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26788 (or 26778 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 10049427650808 in words is "ten trillion, forty-nine billion, four hundred twenty-seven million, six hundred fifty thousand, eight hundred eight".