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716343343617 = 3111965310311697
BaseRepresentation
bin10100110110010010110…
…00111111101000000001
32112111000012101021102210
422123021120333220001
543214032343443432
61305030015532333
7102516440645436
oct12331130775001
92474005337383
10716343343617
11256888162650
12b69b9b2a0a9
13527213b8675
1426957acdb8d
1513978cbe8cc
hexa6c963fa01

716343343617 has 64 divisors (see below), whose sum is σ = 1100186634240. Its totient is φ = 410027673600.

The previous prime is 716343343607. The next prime is 716343343627.

716343343617 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (716343343607) and next prime (716343343627).

It is not a de Polignac number, because 716343343617 - 24 = 716343343601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (716343343607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422122513 + ... + 422124209.

It is an arithmetic number, because the mean of its divisors is an integer number (17190416160).

Almost surely, 2716343343617 is an apocalyptic number.

It is an amenable number.

716343343617 is a deficient number, since it is larger than the sum of its proper divisors (383843290623).

716343343617 is a wasteful number, since it uses less digits than its factorization.

716343343617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414.

The product of its digits is 2286144, while the sum is 48.

The spelling of 716343343617 in words is "seven hundred sixteen billion, three hundred forty-three million, three hundred forty-three thousand, six hundred seventeen".

Divisors: 1 3 11 19 33 57 209 627 653 1031 1697 1959 3093 5091 7183 11341 12407 18667 19589 21549 32243 34023 37221 56001 58767 96729 136477 215479 354673 409431 646437 673243 1064019 1108141 1749607 2019729 3324423 5248821 7405673 12189551 12791617 19245677 21054679 22217019 33242533 36568653 38374851 57737031 63164037 99727599 140707787 231601469 365667863 422123361 694804407 1097003589 1142493371 3427480113 12567427081 21707374049 37702281243 65122122147 238781114539 716343343617