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10013936868 = 22321321397301
BaseRepresentation
bin10010101001110000…
…01000110011100100
3221211212222200220200
421110320020303210
5131002031434433
64333401230500
7503104026135
oct112470106344
927755880820
1010013936868
114279673a91
121b35792430
13c37859c40
146add4dc8c
153d9212613
hex254e08ce4

10013936868 has 36 divisors (see below), whose sum is σ = 27260162748. Its totient is φ = 3081211200.

The previous prime is 10013936831. The next prime is 10013936869. The reversal of 10013936868 is 86863931001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4413210624 + 5600726244 = 66432^2 + 74838^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (10013936869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10698183 + ... + 10699118.

It is an arithmetic number, because the mean of its divisors is an integer number (757226743).

Almost surely, 210013936868 is an apocalyptic number.

10013936868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10013936868 is an abundant number, since it is smaller than the sum of its proper divisors (17246225880).

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

10013936868 is a wasteful number, since it uses less digits than its factorization.

10013936868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21397324 (or 21397319 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10013936868 in words is "ten billion, thirteen million, nine hundred thirty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 21397301 42794602 64191903 85589204 128383806 192575709 256767612 278164913 385151418 556329826 770302836 834494739 1112659652 1668989478 2503484217 3337978956 5006968434 10013936868