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126961097985 = 3252821357733
BaseRepresentation
bin111011000111101111…
…0001001110100000001
3110010201010201000202100
41312033132021310001
54040004020113420
6134154120541013
712113133345501
oct1661736116401
9403633630670
10126961097985
1149931259067
1220733021769
13bc8441c467
146205a57a01
153481188190
hex1d8f789d01

126961097985 has 12 divisors (see below), whose sum is σ = 220065903252. Its totient is φ = 67712585568.

The previous prime is 126961097981. The next prime is 126961098001. The reversal of 126961097985 is 589790169621.

126961097985 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 610 + 9 + 7 + 9 + 8 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34343131761 + 92617966224 = 185319^2 + 304332^2 .

It is not a de Polignac number, because 126961097985 - 22 = 126961097981 is a prime.

It is a super-2 number, since 2×1269610979852 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126961097981) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1410678822 + ... + 1410678911.

It is an arithmetic number, because the mean of its divisors is an integer number (18338825271).

Almost surely, 2126961097985 is an apocalyptic number.

126961097985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126961097985 is a deficient number, since it is larger than the sum of its proper divisors (93104805267).

126961097985 is a wasteful number, since it uses less digits than its factorization.

126961097985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2821357744 (or 2821357741 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 126961097985 in words is "one hundred twenty-six billion, nine hundred sixty-one million, ninety-seven thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 2821357733 8464073199 14106788665 25392219597 42320365995 126961097985