Search a number
-
+
13687995120 = 243557033313
BaseRepresentation
bin11001011111101111…
…00011101011110000
31022022221101012100020
430233313203223300
5211013111320440
610142125123440
7663126016212
oct145767435360
938287335306
1013687995120
115894575368
1227a00b9580
1313a1a99ac7
1493bc9a5b2
15551a523d0
hex32fde3af0

13687995120 has 40 divisors (see below), whose sum is σ = 42432785616. Its totient is φ = 3650131968.

The previous prime is 13687995109. The next prime is 13687995121. The reversal of 13687995120 is 2159978631.

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

It is a super-2 number, since 2×136879951202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13687995121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28516417 + ... + 28516896.

Almost surely, 213687995120 is an apocalyptic number.

13687995120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13687995120 is an abundant number, since it is smaller than the sum of its proper divisors (28744790496).

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

13687995120 is a wasteful number, since it uses less digits than its factorization.

13687995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57033329 (or 57033323 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The spelling of 13687995120 in words is "thirteen billion, six hundred eighty-seven million, nine hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 57033313 114066626 171099939 228133252 285166565 342199878 456266504 570333130 684399756 855499695 912533008 1140666260 1368799512 1710999390 2281332520 2737599024 3421998780 4562665040 6843997560 13687995120