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8679117027 = 3719316111503
BaseRepresentation
bin10000001010101000…
…01101000011100011
3211101212021211022210
420011110031003203
5120233323221102
63553115333203
7425035164120
oct100524150343
924355254283
108679117027
113754154099
121822751203
13a84150209
145c4967747
1535be4536c
hex20550d0e3

8679117027 has 64 divisors (see below), whose sum is σ = 14607319040. Its totient is φ = 4471977600.

The previous prime is 8679117017. The next prime is 8679117053. The reversal of 8679117027 is 7207119768.

It is not a de Polignac number, because 8679117027 - 218 = 8678854883 is a prime.

It is a super-2 number, since 2×86791170272 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8679117017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748758 + ... + 760260.

It is an arithmetic number, because the mean of its divisors is an integer number (228239360).

Almost surely, 28679117027 is an apocalyptic number.

8679117027 is a deficient number, since it is larger than the sum of its proper divisors (5928202013).

8679117027 is a wasteful number, since it uses less digits than its factorization.

8679117027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11624.

The product of its (nonzero) digits is 296352, while the sum is 48.

The square root of 8679117027 is about 93161.7787882992. The cubic root of 8679117027 is about 2055.0631954092.

The spelling of 8679117027 in words is "eight billion, six hundred seventy-nine million, one hundred seventeen thousand, twenty-seven".

Divisors: 1 3 7 19 21 31 57 61 93 133 183 217 399 427 589 651 1159 1281 1767 1891 3477 4123 5673 8113 11503 12369 13237 24339 34509 35929 39711 80521 107787 218557 241563 251503 356593 655671 701683 754509 1069779 1529899 2105049 2496151 4589697 4911781 6775267 7488453 13331977 14735343 20325801 21752173 39995931 47426869 65256519 93323839 142280607 152265211 279971517 413291287 456795633 1239873861 2893039009 8679117027