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187191186059089 = 4323181812
BaseRepresentation
bin101010100011111111011000…
…001001100110111101010001
3220112210022011121102121212101
4222203333120021212331101
5144013420022112342324
61502042235501400401
754300055044241312
oct5243773011467521
9815708147377771
10187191186059089
1154710377514573
1218bb2aa5569101
13805b08c8883a4
14343215d29c609
1516994141a3944
hexaa3fd8266f51

187191186059089 has 9 divisors (see below), whose sum is σ = 191646310923099. Its totient is φ = 182837328027480.

The previous prime is 187191186059083. The next prime is 187191186059123. The reversal of 187191186059089 is 980950681191781.

The square root of 187191186059089 is 13681783.

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

It can be written as a sum of positive squares in only one way, i.e., 75460789591489 + 111730396467600 = 8686817^2 + 10570260^2 .

It is not a de Polignac number, because 187191186059089 - 215 = 187191186026321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (187191186059083) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 588157579 + ... + 588475759.

It is an arithmetic number, because the mean of its divisors is an integer number (21294034547011).

Almost surely, 2187191186059089 is an apocalyptic number.

187191186059089 is the 13681783-rd square number.

187191186059089 is the 6840892-nd centered octagonal number.

It is an amenable number.

187191186059089 is a deficient number, since it is larger than the sum of its proper divisors (4455124864010).

187191186059089 is an frugal number, since it uses more digits than its factorization.

187191186059089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636448 (or 318224 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 73.

The spelling of 187191186059089 in words is "one hundred eighty-seven trillion, one hundred ninety-one billion, one hundred eighty-six million, fifty-nine thousand, eighty-nine".

Divisors: 1 43 1849 318181 13681783 588316669 101239148761 4353283396723 187191186059089