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107655212744209 = 1327981312
BaseRepresentation
bin11000011110100101101110…
…101101101011111000010001
3112010011201220212122120112101
4120132211232231223320101
5103102310333430303314
61020544042203200401
731450555346634304
oct3036455655537021
9463151825576471
10107655212744209
1131336357034a29
12100a8374b16101
13480bac60c7300
141c8277c05cb3b
15c6a55c15d174
hex61e96eb6be11

107655212744209 has 9 divisors (see below), whose sum is σ = 116573542106619. Its totient is φ = 99373918024680.

The previous prime is 107655212744147. The next prime is 107655212744291. The reversal of 107655212744209 is 902447212556701.

The square root of 107655212744209 is 10375703.

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., 15925327329025 + 91729885415184 = 3990655^2 + 9577572^2 .

It is not a de Polignac number, because 107655212744209 - 27 = 107655212744081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 107655212744209.

It is not an unprimeable number, because it can be changed into a prime (107655216744209) 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, 134485074 + ... + 135283204.

Almost surely, 2107655212744209 is an apocalyptic number.

107655212744209 is the 10375703-rd square number.

107655212744209 is the 5187852-nd centered octagonal number.

It is an amenable number.

107655212744209 is a deficient number, since it is larger than the sum of its proper divisors (8918329362410).

107655212744209 is an frugal number, since it uses more digits than its factorization.

107655212744209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596288 (or 798144 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 107655212744209 in words is "one hundred seven trillion, six hundred fifty-five billion, two hundred twelve million, seven hundred forty-four thousand, two hundred nine".

Divisors: 1 13 169 798131 10375703 134884139 637013093161 8281170211093 107655212744209