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195915120129 = 321475412
BaseRepresentation
bin1011011001110101110…
…0110111111000000001
3200201200122212021202100
42312131130313320001
511202213232321004
6230000244541013
720103650021151
oct2663534677001
9621618767670
10195915120129
11760a5a83523
1231b776b1769
1315622c4c1b1
1496a7794761
155169a34739
hex2d9d737e01

195915120129 has 9 divisors (see below), whose sum is σ = 282990424899. Its totient is φ = 130609194840.

The previous prime is 195915120103. The next prime is 195915120143. The reversal of 195915120129 is 921021519591.

The square root of 195915120129 is 442623.

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

195915120129 is a `hidden beast` number, since 1 + 9 + 5 + 9 + 1 + 512 + 0 + 129 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6324543729 + 189590576400 = 79527^2 + 435420^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-195915120129 is a prime.

It is a super-3 number, since 3×1959151201293 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (195915122129) 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, 1254099 + ... + 1401639.

Almost surely, 2195915120129 is an apocalyptic number.

195915120129 is the 442623-rd square number.

195915120129 is the 221312-nd centered octagonal number.

It is an amenable number.

195915120129 is a deficient number, since it is larger than the sum of its proper divisors (87075304770).

195915120129 is an frugal number, since it uses more digits than its factorization.

195915120129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295088 (or 147544 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 45.

The spelling of 195915120129 in words is "one hundred ninety-five billion, nine hundred fifteen million, one hundred twenty thousand, one hundred twenty-nine".

Divisors: 1 3 9 147541 442623 1327869 21768346681 65305040043 195915120129