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13680825192 = 2332190011461
BaseRepresentation
bin11001011110111000…
…01101001101101000
31022022102212221001100
430233130031031220
5211004242401232
610141311321400
7663011044506
oct145734151550
938272787040
1013680825192
115890518501
122799820260
1313a0459448
1493ad51676
155510d7c7c
hex32f70d368

13680825192 has 24 divisors (see below), whose sum is σ = 37052235090. Its totient is φ = 4560275040.

The previous prime is 13680825149. The next prime is 13680825269. The reversal of 13680825192 is 29152808631.

It can be written as a sum of positive squares in only one way, i.e., 11730189636 + 1950635556 = 108306^2 + 44166^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95005659 + ... + 95005802.

Almost surely, 213680825192 is an apocalyptic number.

13680825192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13680825192 is an abundant number, since it is smaller than the sum of its proper divisors (23371409898).

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

13680825192 is a wasteful number, since it uses less digits than its factorization.

13680825192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190011473 (or 190011466 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13680825192 in words is "thirteen billion, six hundred eighty million, eight hundred twenty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 190011461 380022922 570034383 760045844 1140068766 1520091688 1710103149 2280137532 3420206298 4560275064 6840412596 13680825192