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10972251819 = 34294671031
BaseRepresentation
bin10100011011111111…
…10100011010101011
31001022200020010220000
422031333310122223
5134432344024234
65012433234043
7535621413234
oct121577643253
931280203800
1010972251819
114720606211
122162702923
13105b2605c9
1476132a08b
1544340c899
hex28dff46ab

10972251819 has 20 divisors (see below), whose sum is σ = 16955846160. Its totient is φ = 7062597360.

The previous prime is 10972251799. The next prime is 10972251847. The reversal of 10972251819 is 91815227901.

10972251819 is a `hidden beast` number, since 10 + 97 + 22 + 518 + 19 = 666.

It is not a de Polignac number, because 10972251819 - 212 = 10972247723 is a prime.

It is a super-2 number, since 2×109722518192 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10972251019) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2333167 + ... + 2337864.

It is an arithmetic number, because the mean of its divisors is an integer number (847792308).

Almost surely, 210972251819 is an apocalyptic number.

10972251819 is a deficient number, since it is larger than the sum of its proper divisors (5983594341).

10972251819 is an equidigital number, since it uses as much as digits as its factorization.

10972251819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4671072 (or 4671063 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 10972251819 in words is "ten billion, nine hundred seventy-two million, two hundred fifty-one thousand, eight hundred nineteen".

Divisors: 1 3 9 27 29 81 87 261 783 2349 4671031 14013093 42039279 126117837 135459899 378353511 406379697 1219139091 3657417273 10972251819