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12095689151 = 7213312112903
BaseRepresentation
bin10110100001111010…
…11001000110111111
31011012222011200012002
423100331121012333
5144232444023101
65320124332515
7605512442600
oct132075310677
934188150162
1012095689151
115147779317
1224169a413b
1311a9c29120
1482a609da7
154abd72d6b
hex2d0f591bf

12095689151 has 48 divisors (see below), whose sum is σ = 15721187328. Its totient is φ = 9214430400.

The previous prime is 12095689147. The next prime is 12095689153. The reversal of 12095689151 is 15198659021.

It is a happy number.

It is not a de Polignac number, because 12095689151 - 22 = 12095689147 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12095689096 and 12095689105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12095689153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4165166 + ... + 4168068.

It is an arithmetic number, because the mean of its divisors is an integer number (327524736).

Almost surely, 212095689151 is an apocalyptic number.

12095689151 is a deficient number, since it is larger than the sum of its proper divisors (3625498177).

12095689151 is a wasteful number, since it uses less digits than its factorization.

12095689151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 47.

The spelling of 12095689151 in words is "twelve billion, ninety-five million, six hundred eighty-nine thousand, one hundred fifty-one".

Divisors: 1 7 13 31 49 91 211 217 403 637 1477 1519 2743 2821 2903 6541 10339 19201 19747 20321 37739 45787 85033 89993 134407 142247 264173 320509 595231 612533 629951 1169909 1849211 4166617 4287731 4409657 7962929 8189363 18988523 30014117 55740503 57325541 132919661 246850799 390183521 930437627 1727955593 12095689151