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13725278960 = 245732350219
BaseRepresentation
bin11001100100001011…
…10010001011110000
31022102112112102011012
430302011302023300
5211102132411320
610145540210052
7664060642361
oct146205621360
938375472135
1013725278960
115903620258
1227b0699928
1313a9722253
14942c03b68
15554e694c5
hex3321722f0

13725278960 has 40 divisors (see below), whose sum is σ = 32348428080. Its totient is φ = 5414902272.

The previous prime is 13725278939. The next prime is 13725278989. The reversal of 13725278960 is 6987252731.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13725278899 and 13725278908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1169270 + ... + 1180949.

It is an arithmetic number, because the mean of its divisors is an integer number (808710702).

Almost surely, 213725278960 is an apocalyptic number.

13725278960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13725278960 is an abundant number, since it is smaller than the sum of its proper divisors (18623149120).

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

13725278960 is a wasteful number, since it uses less digits than its factorization.

13725278960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350305 (or 2350299 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The spelling of 13725278960 in words is "thirteen billion, seven hundred twenty-five million, two hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 2350219 4700438 9400876 11751095 18801752 23502190 37603504 47004380 94008760 171565987 188017520 343131974 686263948 857829935 1372527896 1715659870 2745055792 3431319740 6862639480 13725278960