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972856438083 = 33172973086653
BaseRepresentation
bin11100010100000101100…
…00110010110101000011
310110000010001000121112000
432022002300302311003
5111414402222004313
62022531333435043
7130200201166005
oct16120260626503
93400101017460
10972856438083
1134564a1080a2
1213866779ba83
13709809315ba
143512d514375
151a48d7c4673
hexe282c32d43

972856438083 has 32 divisors (see below), whose sum is σ = 1578671726400. Its totient is φ = 589370761728.

The previous prime is 972856438031. The next prime is 972856438091. The reversal of 972856438083 is 380834658279.

972856438083 is a `hidden beast` number, since 9 + 72 + 8 + 56 + 438 + 0 + 83 = 666.

It is not a de Polignac number, because 972856438083 - 29 = 972856437571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 972856438083.

It is not an unprimeable number, because it can be changed into a prime (972856438283) 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 31 ways as a sum of consecutive naturals, for example, 36530016 + ... + 36556637.

It is an arithmetic number, because the mean of its divisors is an integer number (49333491450).

Almost surely, 2972856438083 is an apocalyptic number.

972856438083 is a deficient number, since it is larger than the sum of its proper divisors (605815288317).

972856438083 is a wasteful number, since it uses less digits than its factorization.

972856438083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73086708 (or 73086702 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 972856438083 in words is "nine hundred seventy-two billion, eight hundred fifty-six million, four hundred thirty-eight thousand, eighty-three".

Divisors: 1 3 9 17 27 29 51 87 153 261 459 493 783 1479 4437 13311 73086653 219259959 657779877 1242473101 1973339631 2119512937 3727419303 6358538811 11182257909 19075616433 33546773727 36031719929 57226849299 108095159787 324285479361 972856438083