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10765747321 = 72616615449
BaseRepresentation
bin10100000011011000…
…00100010001111001
31000210021122121222021
422001230010101321
5134022012403241
64540135154441
7530533225300
oct120154042171
930707577867
1010765747321
114624a9033a
122105515a21
1310275397b4
14741b33437
1543021b0d1
hex281b04479

10765747321 has 24 divisors (see below), whose sum is σ = 12750318600. Its totient is φ = 9061113600.

The previous prime is 10765747319. The next prime is 10765747381. The reversal of 10765747321 is 12374756701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3759721 + 10761987600 = 1939^2 + 103740^2 .

It is not a de Polignac number, because 10765747321 - 21 = 10765747319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10765747381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1973005 + ... + 1978453.

It is an arithmetic number, because the mean of its divisors is an integer number (531263275).

Almost surely, 210765747321 is an apocalyptic number.

It is an amenable number.

10765747321 is a deficient number, since it is larger than the sum of its proper divisors (1984571279).

10765747321 is an equidigital number, since it uses as much as digits as its factorization.

10765747321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The spelling of 10765747321 in words is "ten billion, seven hundred sixty-five million, seven hundred forty-seven thousand, three hundred twenty-one".

Divisors: 1 7 49 61 427 661 2989 4627 5449 32389 38143 40321 267001 282247 332389 1975729 2326723 3601789 16287061 25212523 176487661 219709129 1537963903 10765747321