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10247897088 = 215371113
BaseRepresentation
bin10011000101101001…
…01000000000000000
3222110012020010000000
421202310220000000
5131441430201323
64412520000000
7511644454662
oct114264500000
928405203000
1010247897088
114389741840
121ba0000000
13c74174940
146d3052532
153eea28e43
hex262d28000

10247897088 has 512 divisors, whose sum is σ = 36112406400. Its totient is φ = 2866544640.

The previous prime is 10247897087. The next prime is 10247897123. The reversal of 10247897088 is 88079874201.

It is a happy number.

10247897088 is a `hidden beast` number, since 1 + 0 + 2 + 478 + 97 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is not an unprimeable number, because it can be changed into a prime (10247897083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788299770 + ... + 788299782.

Almost surely, 210247897088 is an apocalyptic number.

10247897088 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 10247897088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056203200).

10247897088 is an abundant number, since it is smaller than the sum of its proper divisors (25864509312).

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

10247897088 is an frugal number, since it uses more digits than its factorization.

10247897088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 10247897088 in words is "ten billion, two hundred forty-seven million, eight hundred ninety-seven thousand, eighty-eight".