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986441144689 = 711137397139169
BaseRepresentation
bin11100101101011000111…
…10010101100101110001
310111022011210001012122201
432112230132111211301
5112130212413112224
62033055333103201
7131160634245430
oct16265436254561
93438153035581
10986441144689
11350390345250
1213b219187b01
13720371a5b30
1435a5b7a5117
151a9d6222a44
hexe5ac795971

986441144689 has 64 divisors (see below), whose sum is σ = 1356446568960. Its totient is φ = 692589035520.

The previous prime is 986441144681. The next prime is 986441144701.

986441144689 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 986441144689 - 23 = 986441144681 is a prime.

It is a super-2 number, since 2×9864411446892 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 986441144689.

It is not an unprimeable number, because it can be changed into a prime (986441144681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7018497 + ... + 7157665.

It is an arithmetic number, because the mean of its divisors is an integer number (21194477640).

Almost surely, 2986441144689 is an apocalyptic number.

It is an amenable number.

986441144689 is a deficient number, since it is larger than the sum of its proper divisors (370005424271).

986441144689 is a wasteful number, since it uses less digits than its factorization.

986441144689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139370.

The product of its digits is 47775744, while the sum is 64.

The spelling of 986441144689 in words is "nine hundred eighty-six billion, four hundred forty-one million, one hundred forty-four thousand, six hundred eighty-nine".

Divisors: 1 7 11 13 73 77 91 97 143 511 679 803 949 1001 1067 1261 5621 6643 7081 7469 8827 10439 13871 49567 73073 77891 92053 97097 139169 545237 644371 974183 1012583 1530859 1809197 7088081 10159337 10716013 12664379 13499393 19901167 71115359 94495751 111752707 132071381 139308169 148493323 175492109 782268949 924499667 985455689 1039453261 1228444763 1452785191 1930413199 6898189823 10169496337 10840012579 12810923957 13512892393 75880088053 89676467699 140920163527 986441144689