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164165313084 = 223192331305361
BaseRepresentation
bin1001100011100100000…
…0111110001000111100
3120200201221222222100220
42120321000332020330
510142202310004314
6203225544221340
714601112065063
oct2307100761074
9520657888326
10164165313084
1163693048573
122799676a850
13126331bc216
147d34bbb1da
15440c4b93a9
hex263903e23c

164165313084 has 48 divisors (see below), whose sum is σ = 420744065280. Its totient is φ = 49587690240.

The previous prime is 164165313083. The next prime is 164165313119. The reversal of 164165313084 is 480313561461.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164165313083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15647437 + ... + 15657924.

It is an arithmetic number, because the mean of its divisors is an integer number (8765501360).

Almost surely, 2164165313084 is an apocalyptic number.

It is an amenable number.

164165313084 is an abundant number, since it is smaller than the sum of its proper divisors (256578752196).

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

164165313084 is a wasteful number, since it uses less digits than its factorization.

164165313084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31305410 (or 31305408 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 164165313084 in words is "one hundred sixty-four billion, one hundred sixty-five million, three hundred thirteen thousand, eighty-four".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2622 5244 31305361 62610722 93916083 125221444 187832166 375664332 594801859 720023303 1189603718 1440046606 1784405577 2160069909 2379207436 2880093212 3568811154 4320139818 7137622308 8640279636 13680442757 27360885514 41041328271 54721771028 82082656542 164165313084