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8125664112 = 2432232453401
BaseRepresentation
bin1111001000101001…
…11100101101110000
3202222021212111122200
413210110330231300
5113120132222422
63422145103200
7405235001556
oct74424745560
922867774580
108125664112
11349a7a8795
1216a9327b00
139c65a1197
14571259bd6
1532856e2ac
hex1e453cb70

8125664112 has 60 divisors (see below), whose sum is σ = 23729304144. Its totient is φ = 2590790400.

The previous prime is 8125664087. The next prime is 8125664143. The reversal of 8125664112 is 2114665218.

It is a happy number.

8125664112 is a `hidden beast` number, since 8 + 1 + 2 + 5 + 6 + 641 + 1 + 2 = 666.

It is a super-2 number, since 2×81256641122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1223389 + ... + 1230012.

Almost surely, 28125664112 is an apocalyptic number.

It is an amenable number.

8125664112 is an abundant number, since it is smaller than the sum of its proper divisors (15603640032).

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

8125664112 is a wasteful number, since it uses less digits than its factorization.

8125664112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453438 (or 2453429 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 8125664112 is about 90142.4656418938. The cubic root of 8125664112 is about 2010.4176513864.

The spelling of 8125664112 in words is "eight billion, one hundred twenty-five million, six hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 2453401 4906802 7360203 9813604 14720406 19627208 22080609 29440812 39254416 44161218 56428223 58881624 88322436 112856446 117763248 169284669 176644872 225712892 338569338 353289744 451425784 507854007 677138676 902851568 1015708014 1354277352 2031416028 2708554704 4062832056 8125664112