Search a number
-
+
12731913504 = 253314736011
BaseRepresentation
bin10111101101110000…
…11001010100100000
31012212022100012221000
423312320121110200
5202033332213004
65503213032000
7630336323232
oct136670312440
935768305830
1012731913504
115443919072
122573a85600
13127b998b3b
1488ad02252
154e7b48c39
hex2f6e19520

12731913504 has 48 divisors (see below), whose sum is σ = 37134750240. Its totient is φ = 4243970880.

The previous prime is 12731913487. The next prime is 12731913541. The reversal of 12731913504 is 40531913721.

12731913504 is a `hidden beast` number, since 127 + 3 + 19 + 13 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7367142 + ... + 7368869.

It is an arithmetic number, because the mean of its divisors is an integer number (773640630).

Almost surely, 212731913504 is an apocalyptic number.

It is an amenable number.

12731913504 is an abundant number, since it is smaller than the sum of its proper divisors (24402836736).

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

12731913504 is a wasteful number, since it uses less digits than its factorization.

12731913504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14736030 (or 14736016 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12731913504 in words is "twelve billion, seven hundred thirty-one million, nine hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14736011 29472022 44208033 58944044 88416066 117888088 132624099 176832132 235776176 265248198 353664264 397872297 471552352 530496396 707328528 795744594 1060992792 1414657056 1591489188 2121985584 3182978376 4243971168 6365956752 12731913504