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126891055616 = 291319064161
BaseRepresentation
bin111011000101101001…
…0111101101000000000
3110010112020220111200112
41312023102331220000
54034333102234431
6134143135410452
712111323114363
oct1661322755000
9403466814615
10126891055616
11498a5769206
1220713683a28
13bc72a67580
1461da6240da
153479e4ec2b
hex1d8b4bda00

126891055616 has 40 divisors (see below), whose sum is σ = 273036928164. Its totient is φ = 58565099520.

The previous prime is 126891055607. The next prime is 126891055639. The reversal of 126891055616 is 616550198621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 126792966400 + 98089216 = 356080^2 + 9904^2 .

It is a super-2 number, since 2×1268910556162 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9525425 + ... + 9538736.

Almost surely, 2126891055616 is an apocalyptic number.

126891055616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126891055616 is an abundant number, since it is smaller than the sum of its proper divisors (146145872548).

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

126891055616 is an equidigital number, since it uses as much as digits as its factorization.

126891055616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19064192 (or 19064176 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 50.

The spelling of 126891055616 in words is "one hundred twenty-six billion, eight hundred ninety-one million, fifty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 3328 6656 19064161 38128322 76256644 152513288 247834093 305026576 495668186 610053152 991336372 1220106304 1982672744 2440212608 3965345488 4880425216 7930690976 9760850432 15861381952 31722763904 63445527808 126891055616