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10129759648 = 25316554989
BaseRepresentation
bin10010110111100011…
…11101110110100000
3222010221221002220021
421123301331312200
5131221204302043
64353055523224
7506011351651
oct113361756640
928127832807
1010129759648
114328a92398
121b68529514
13c55850728
146c149d528
153e44903ed
hex25bc7dda0

10129759648 has 12 divisors (see below), whose sum is σ = 19942964370. Its totient is φ = 5064879808.

The previous prime is 10129759639. The next prime is 10129759667. The reversal of 10129759648 is 84695792101.

It can be written as a sum of positive squares in only one way, i.e., 7107838864 + 3021920784 = 84308^2 + 54972^2 .

It is a super-2 number, since 2×101297596482 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10129759595 and 10129759604.

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 as a sum of consecutive naturals, namely, 158277463 + ... + 158277526.

Almost surely, 210129759648 is an apocalyptic number.

It is an amenable number.

10129759648 is a deficient number, since it is larger than the sum of its proper divisors (9813204722).

10129759648 is an equidigital number, since it uses as much as digits as its factorization.

10129759648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316554999 (or 316554991 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 10129759648 in words is "ten billion, one hundred twenty-nine million, seven hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 316554989 633109978 1266219956 2532439912 5064879824 10129759648