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6100104164 = 2271125930517
BaseRepresentation
bin1011010111001100…
…00011001111100100
3120202010102101202212
411223212003033210
544443111313124
62445150222552
7304111013150
oct55346031744
916663371685
106100104164
112650393600
121222ab4a58
13762a47abb
1441c22a060
1525a80d40e
hex16b9833e4

6100104164 has 72 divisors (see below), whose sum is σ = 13637883840. Its totient is φ = 2336304960.

The previous prime is 6100104163. The next prime is 6100104167. The reversal of 6100104164 is 4614010016.

It is a super-2 number, since 2×61001041642 = 74422541623300277792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6100104163) 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 23 ways as a sum of consecutive naturals, for example, 184634 + ... + 215150.

Almost surely, 26100104164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6100104164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6818941920).

6100104164 is an abundant number, since it is smaller than the sum of its proper divisors (7537779676).

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

6100104164 is a wasteful number, since it uses less digits than its factorization.

6100104164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30609 (or 30596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 6100104164 is about 78103.1635978979. The cubic root of 6100104164 is about 1827.1705370398.

The spelling of 6100104164 in words is "six billion, one hundred million, one hundred four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 121 154 236 242 308 413 484 649 826 847 1298 1652 1694 2596 3388 4543 7139 9086 14278 18172 28556 30517 49973 61034 99946 122068 199892 213619 335687 427238 671374 854476 1342748 1800503 2349809 3601006 3692557 4699618 7202012 7385114 9399236 12603521 14770228 19805533 25207042 25847899 39611066 50414084 51695798 79222132 103391596 138638731 217860863 277277462 435721726 554554924 871443452 1525026041 3050052082 6100104164