Search a number
-
+
12381346177696 = 252795313841701
BaseRepresentation
bin1011010000101100000110…
…1111011010001010100000
31121211122102022012010011201
42310023001233122022200
53110323444110141241
642155524550050544
72415344205024646
oct264130157321240
947748368163151
1012381346177696
113a43999155431
12147b707949a54
136ba72c508942
1430b39059b196
15167101d60931
hexb42c1bda2a0

12381346177696 has 24 divisors (see below), whose sum is σ = 24376649075604. Its totient is φ = 6190451174400.

The previous prime is 12381346177649. The next prime is 12381346177709. The reversal of 12381346177696 is 69677164318321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10186693555600 + 2194652622096 = 3191660^2 + 1481436^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6026355 + ... + 7815346.

Almost surely, 212381346177696 is an apocalyptic number.

12381346177696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12381346177696 is a deficient number, since it is larger than the sum of its proper divisors (11995302897908).

12381346177696 is a wasteful number, since it uses less digits than its factorization.

12381346177696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869664 (or 13869656 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 64.

The spelling of 12381346177696 in words is "twelve trillion, three hundred eighty-one billion, three hundred forty-six million, one hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 27953 55906 111812 223624 447248 894496 13841701 27683402 55366804 110733608 221467216 442934432 386917068053 773834136106 1547668272212 3095336544424 6190673088848 12381346177696