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10164918708 = 2232756970891
BaseRepresentation
bin10010111011110000…
…00101100110110100
3222020102002101001200
421131320011212310
5131304204344313
64400353252500
7506616245340
oct113570054664
928212071050
1010164918708
11434691696a
121b78264130
13c5cc109c9
146c6012620
153e75d7b73
hex25de059b4

10164918708 has 72 divisors (see below), whose sum is σ = 29417344320. Its totient is φ = 2899117440.

The previous prime is 10164918691. The next prime is 10164918733. The reversal of 10164918708 is 80781946101.

It is a happy number.

10164918708 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 107943 + ... + 178833.

Almost surely, 210164918708 is an apocalyptic number.

10164918708 is a gapful number since it is divisible by the number (18) 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 10164918708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708672160).

10164918708 is an abundant number, since it is smaller than the sum of its proper divisors (19252425612).

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

10164918708 is a wasteful number, since it uses less digits than its factorization.

10164918708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71477 (or 71472 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 10164918708 in words is "ten billion, one hundred sixty-four million, nine hundred eighteen thousand, seven hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 569 1138 1707 2276 3414 3983 5121 6828 7966 10242 11949 15932 20484 23898 35847 47796 70891 71694 141782 143388 212673 283564 425346 496237 638019 850692 992474 1276038 1488711 1984948 2552076 2977422 4466133 5954844 8932266 17864532 40336979 80673958 121010937 161347916 242021874 282358853 363032811 484043748 564717706 726065622 847076559 1129435412 1452131244 1694153118 2541229677 3388306236 5082459354 10164918708