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13839730164 = 22321329572073
BaseRepresentation
bin11001110001110100…
…11000010111110100
31022201111220010200200
430320322120113310
5211320432331124
610205145240500
7666650523351
oct147072302764
938644803620
1013839730164
115962192127
122822a93130
1313c7355660
149540b7628
15560025bc9
hex338e985f4

13839730164 has 36 divisors (see below), whose sum is σ = 37674822276. Its totient is φ = 4258378368.

The previous prime is 13839730129. The next prime is 13839730193. The reversal of 13839730164 is 46103793831.

It can be written as a sum of positive squares in 2 ways, for example, as 2022300900 + 11817429264 = 44970^2 + 108708^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14785569 + ... + 14786504.

It is an arithmetic number, because the mean of its divisors is an integer number (1046522841).

Almost surely, 213839730164 is an apocalyptic number.

It is an amenable number.

13839730164 is an abundant number, since it is smaller than the sum of its proper divisors (23835092112).

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

13839730164 is a wasteful number, since it uses less digits than its factorization.

13839730164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29572096 (or 29572091 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13839730164 in words is "thirteen billion, eight hundred thirty-nine million, seven hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 29572073 59144146 88716219 118288292 177432438 266148657 354864876 384436949 532297314 768873898 1064594628 1153310847 1537747796 2306621694 3459932541 4613243388 6919865082 13839730164