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8139117084 = 22373122913649
BaseRepresentation
bin1111001010010000…
…10001001000011100
3210000020011222122220
413211020101020130
5113132103221314
63423345305340
7405460232220
oct74510211034
923006158586
108139117084
1134a735714a
1216b1935250
139c9301617
14572d5c780
1532982a3a9
hex1e521121c

8139117084 has 96 divisors (see below), whose sum is σ = 22503936000. Its totient is φ = 2240455680.

The previous prime is 8139117071. The next prime is 8139117127. The reversal of 8139117084 is 4807119318.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 589492 + ... + 603140.

It is an arithmetic number, because the mean of its divisors is an integer number (234416000).

Almost surely, 28139117084 is an apocalyptic number.

8139117084 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8139117084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251968000).

8139117084 is an abundant number, since it is smaller than the sum of its proper divisors (14364818916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8139117084 is a wasteful number, since it uses less digits than its factorization.

8139117084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13923 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 8139117084 is about 90217.0553941992. The cubic root of 8139117084 is about 2011.5265322417.

The spelling of 8139117084 in words is "eight billion, one hundred thirty-nine million, one hundred seventeen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 229 372 434 458 651 687 868 916 1302 1374 1603 2604 2748 3206 4809 6412 7099 9618 13649 14198 19236 21297 27298 28396 40947 42594 49693 54596 81894 85188 95543 99386 149079 163788 191086 198772 286629 298158 382172 423119 573258 596316 846238 1146516 1269357 1692476 2538714 2961833 3125621 5077428 5923666 6251242 8885499 9376863 11847332 12502484 17770998 18753726 21879347 35541996 37507452 43758694 65638041 87517388 96894251 131276082 193788502 262552164 290682753 387577004 581365506 678259757 1162731012 1356519514 2034779271 2713039028 4069558542 8139117084