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10247336352 = 2533115411993
BaseRepresentation
bin10011000101100100…
…11111000110100000
3222110011011121211000
421202302133012200
5131441304230402
64412455552000
7511636631121
oct114262370640
928404147730
1010247336352
114389399520
121b9b98b600
13c74009646
146d2d48048
153ee967c1c
hex262c9f1a0

10247336352 has 192 divisors, whose sum is σ = 32681819520. Its totient is φ = 3097958400.

The previous prime is 10247336317. The next prime is 10247336387. The reversal of 10247336352 is 25363374201.

10247336352 is a `hidden beast` number, since 1 + 0 + 247 + 3 + 363 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (10247336317) and next prime (10247336387).

It is a super-2 number, since 2×102473363522 (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5140668 + ... + 5142660.

It is an arithmetic number, because the mean of its divisors is an integer number (170217810).

Almost surely, 210247336352 is an apocalyptic number.

10247336352 is a gapful number since it is divisible by the number (12) 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 10247336352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16340909760).

10247336352 is an abundant number, since it is smaller than the sum of its proper divisors (22434483168).

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

10247336352 is a wasteful number, since it uses less digits than its factorization.

10247336352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 10247336352 in words is "ten billion, two hundred forty-seven million, three hundred thirty-six thousand, three hundred fifty-two".