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12177950993 = 137731211857
BaseRepresentation
bin10110101011101110…
…01100100100010001
31011102200222000012222
423111313030210101
5144420023412433
65332223430425
7610531606205
oct132567144421
934380860188
1012177950993
11518a15490a
12243a455415
1311c0c9bb80
14837500b05
154b41c1b98
hex2d5dcc911

12177950993 has 8 divisors (see below), whose sum is σ = 13131693288. Its totient is φ = 11226633984.

The previous prime is 12177950987. The next prime is 12177951017. The reversal of 12177950993 is 39905977121.

12177950993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18037009 + 12159913984 = 4247^2 + 110272^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12177950993 - 210 = 12177949969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12177980993) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 595880 + ... + 615977.

It is an arithmetic number, because the mean of its divisors is an integer number (1641461661).

Almost surely, 212177950993 is an apocalyptic number.

12177950993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12177950993 is a deficient number, since it is larger than the sum of its proper divisors (953742295).

12177950993 is a wasteful number, since it uses less digits than its factorization.

12177950993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212643.

The product of its (nonzero) digits is 1071630, while the sum is 53.

The spelling of 12177950993 in words is "twelve billion, one hundred seventy-seven million, nine hundred fifty thousand, nine hundred ninety-three".

Divisors: 1 13 773 10049 1211857 15754141 936765461 12177950993