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72680356322 = 27211322412
BaseRepresentation
bin100001110110000010…
…1100011100111100010
320221121012220122111222
41003230011203213202
52142322132400242
653220000135042
75152041556400
oct1035405434742
9227535818458
1072680356322
1128907191492
1212104607482
136b13843c02
1437369b4470
151d55ab55d2
hex10ec1639e2

72680356322 has 54 divisors (see below), whose sum is σ = 128485160739. Its totient is φ = 30744967680.

The previous prime is 72680356321. The next prime is 72680356363. The reversal of 72680356322 is 22365308627.

It can be written as a sum of positive squares in 5 ways, for example, as 10882871041 + 61797485281 = 104321^2 + 248591^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=190631.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72680356321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 301578122 + ... + 301578362.

Almost surely, 272680356322 is an apocalyptic number.

72680356322 is a deficient number, since it is larger than the sum of its proper divisors (55804804417).

72680356322 is an equidigital number, since it uses as much as digits as its factorization.

72680356322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 72680356322 in words is "seventy-two billion, six hundred eighty million, three hundred fifty-six thousand, three hundred twenty-two".

Divisors: 1 2 7 14 49 98 113 226 241 482 791 1582 1687 3374 5537 11074 11809 12769 23618 25538 27233 54466 58081 89383 116162 178766 190631 381262 406567 625681 813134 1251362 1334417 2668834 2845969 3077329 5691938 6154658 6563153 13126306 21541303 43082606 45942071 91884142 150789121 301578242 321594497 643188994 741636289 1483272578 5191454023 10382908046 36340178161 72680356322