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3189706700625 = 3254238132
BaseRepresentation
bin101110011010101001010…
…101011011011101010001
3102021221012010220011201100
4232122221111123131101
5404230004403410000
610441155300255013
7446306622414654
oct56325125333521
912257163804640
103189706700625
11101a824305795
1243622a3a1469
131a1a3246b993
14b054dd0789b
1557e891c1a00
hex2e6a955b751

3189706700625 has 45 divisors (see below), whose sum is σ = 5757591495799. Its totient is φ = 1701105468000.

The previous prime is 3189706700599. The next prime is 3189706700639. The reversal of 3189706700625 is 5260076079813.

The square root of 3189706700625 is 1785975.

It is a perfect power (a square), and thus also a powerful number.

3189706700625 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 7 + 0 + 6 + 7 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2412184840641 + 777521859984 = 1553121^2 + 881772^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3189706700625 - 27 = 3189706700497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 133936219 + ... + 133960031.

Almost surely, 23189706700625 is an apocalyptic number.

3189706700625 is the 1785975-th square number.

3189706700625 is the 892988-th centered octagonal number.

It is an amenable number.

3189706700625 is a deficient number, since it is larger than the sum of its proper divisors (2567884795174).

3189706700625 is an frugal number, since it uses more digits than its factorization.

3189706700625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47652 (or 23821 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3189706700625 in words is "three trillion, one hundred eighty-nine billion, seven hundred six million, seven hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 23813 71439 119065 214317 357195 595325 1071585 1785975 2976625 5357925 8929875 14883125 26789625 44649375 133948125 567058969 1701176907 2835294845 5103530721 8505884535 14176474225 25517653605 42529422675 70882371125 127588268025 212647113375 354411855625 637941340125 1063235566875 3189706700625