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716426624617 = 1123101107262027
BaseRepresentation
bin10100110110011100101…
…10101011111001101001
32112111020000002101111021
422123032112223321221
543214220203441432
61305042152532441
7102521501555254
oct12331626537151
92474200071437
10716426624617
11256920174920
12b6a219b1121
1352735727272
1426964bac09b
1513981270697
hexa6ce5abe69

716426624617 has 32 divisors (see below), whose sum is σ = 831312129024. Its totient is φ = 611044632000.

The previous prime is 716426624603. The next prime is 716426624621.

716426624617 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-716426624617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (716426624657) 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 31 ways as a sum of consecutive naturals, for example, 2603158 + ... + 2865184.

It is an arithmetic number, because the mean of its divisors is an integer number (25978504032).

Almost surely, 2716426624617 is an apocalyptic number.

It is an amenable number.

716426624617 is a deficient number, since it is larger than the sum of its proper divisors (114885504407).

716426624617 is a wasteful number, since it uses less digits than its factorization.

716426624617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262269.

The product of its digits is 4064256, while the sum is 52.

The spelling of 716426624617 in words is "seven hundred sixteen billion, four hundred twenty-six million, six hundred twenty-four thousand, six hundred seventeen".

Divisors: 1 11 23 101 107 253 1111 1177 2323 2461 10807 25553 27071 118877 248561 262027 2734171 2882297 6026621 26464727 28036889 66292831 291111997 308405779 608688721 644848447 2831725789 6695575931 7093332917 31148983679 65129693147 716426624617