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12291196257 = 331373322843
BaseRepresentation
bin10110111001001110…
…01100010101100001
31011201121001110112000
423130213030111201
5200133021240012
65351350554213
7613405305264
oct133447142541
934647043460
1012291196257
11523807273a
122470368969
13120b59c3c2
1484857ccdb
154be0e0ddc
hex2dc9cc561

12291196257 has 16 divisors (see below), whose sum is σ = 18342098880. Its totient is φ = 8134317216.

The previous prime is 12291196249. The next prime is 12291196261. The reversal of 12291196257 is 75269119221.

12291196257 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 1 + 19 + 625 + 7 = 666.

12291196257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12291196257 - 23 = 12291196249 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12291196207) 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 15 ways as a sum of consecutive naturals, for example, 1657723 + ... + 1665120.

It is an arithmetic number, because the mean of its divisors is an integer number (1146381180).

Almost surely, 212291196257 is an apocalyptic number.

It is an amenable number.

12291196257 is a deficient number, since it is larger than the sum of its proper divisors (6050902623).

12291196257 is a wasteful number, since it uses less digits than its factorization.

12291196257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322989 (or 3322983 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 12291196257 in words is "twelve billion, two hundred ninety-one million, one hundred ninety-six thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 137 411 1233 3699 3322843 9968529 29905587 89716761 455229491 1365688473 4097065419 12291196257