Search a number
-
+
12704471680 = 27519850737
BaseRepresentation
bin10111101010011111…
…01101101010000000
31012210101201000211011
423311033231222000
5202004321043210
65500352530304
7626554141015
oct136517555200
935711630734
1012704471680
11542a38567a
122566850994
1312760ab384
148873db70c
154e5527d8a
hex2f53eda80

12704471680 has 32 divisors (see below), whose sum is σ = 30371629140. Its totient is φ = 5081788416.

The previous prime is 12704471639. The next prime is 12704471687. The reversal of 12704471680 is 8617440721.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11982367296 + 722104384 = 109464^2 + 26872^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×127044716802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12704471687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9924729 + ... + 9926008.

Almost surely, 212704471680 is an apocalyptic number.

12704471680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12704471680 is an abundant number, since it is smaller than the sum of its proper divisors (17667157460).

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

12704471680 is an equidigital number, since it uses as much as digits as its factorization.

12704471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850756 (or 19850744 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 12704471680 in words is "twelve billion, seven hundred four million, four hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 19850737 39701474 79402948 99253685 158805896 198507370 317611792 397014740 635223584 794029480 1270447168 1588058960 2540894336 3176117920 6352235840 12704471680