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97945633654979 = 1197180917113327
BaseRepresentation
bin10110010001010010111110…
…101100111000100011000011
3110211210111210121121012100112
4112101102332230320203003
5100314220124203424404
6544151334122141535
726426224052263445
oct2621227654704303
9424714717535315
1097945633654979
1129232567840740
12ab9a62a6518ab
134286306363666
141a28845b98495
15b4cbcd96056e
hex5914beb388c3

97945633654979 has 16 divisors (see below), whose sum is σ = 106962088813056. Its totient is φ = 88947900175200.

The previous prime is 97945633654931. The next prime is 97945633655011.

97945633654979 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 97945633654979 - 212 = 97945633650883 is a prime.

It is a super-2 number, since 2×979456336549792 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 97945633654979.

It is not an unprimeable number, because it can be changed into a prime (97945633654919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864217814 + ... + 864331140.

It is an arithmetic number, because the mean of its divisors is an integer number (6685130550816).

Almost surely, 297945633654979 is an apocalyptic number.

97945633654979 is a deficient number, since it is larger than the sum of its proper divisors (9016455158077).

97945633654979 is a wasteful number, since it uses less digits than its factorization.

97945633654979 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195226.

The product of its digits is 41664974400, while the sum is 86.

The spelling of 97945633654979 in words is "ninety-seven trillion, nine hundred forty-five billion, six hundred thirty-three million, six hundred fifty-four thousand, nine hundred seventy-nine".

Divisors: 1 11 971 10681 80917 113327 890087 1246597 78570407 110040517 864274477 1210445687 9170080859 100870889449 8904148514089 97945633654979