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136681581456 = 24327135596807
BaseRepresentation
bin111111101001011011…
…0110110101110010000
3111001210120111202021200
41333102312312232100
54214410441101311
6142442440351200
712606045162450
oct1772266665620
9431716452250
10136681581456
1152a6a20a182
12225a6475500
13cb73231324
146888a19d60
15384e731556
hex1fd2db6b90

136681581456 has 60 divisors (see below), whose sum is σ = 437164108992. Its totient is φ = 39051880128.

The previous prime is 136681581433. The next prime is 136681581461. The reversal of 136681581456 is 654185186631.

136681581456 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 8 + 1 + 581 + 4 + 56 = 666.

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, 67797396 + ... + 67799411.

Almost surely, 2136681581456 is an apocalyptic number.

136681581456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136681581456 is an abundant number, since it is smaller than the sum of its proper divisors (300482527536).

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

136681581456 is a wasteful number, since it uses less digits than its factorization.

136681581456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135596828 (or 135596819 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 136681581456 in words is "one hundred thirty-six billion, six hundred eighty-one million, five hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 135596807 271193614 406790421 542387228 813580842 949177649 1084774456 1220371263 1627161684 1898355298 2169548912 2440742526 2847532947 3254323368 3796710596 4881485052 5695065894 6508646736 7593421192 8542598841 9762970104 11390131788 15186842384 17085197682 19525940208 22780263576 34170395364 45560527152 68340790728 136681581456