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95247684181 = 13731934331201
BaseRepresentation
bin101100010110100110…
…1000101001001010101
3100002211222022200111201
41120231031011021111
53030031401343211
6111431200232501
76611216646226
oct1305515051125
9302758280451
1095247684181
113743791a971
121656230b731
138c9c092450
144877c3524d
152726e0b0c1
hex162d345255

95247684181 has 32 divisors (see below), whose sum is σ = 104846921312. Its totient is φ = 85996339200.

The previous prime is 95247684173. The next prime is 95247684193. The reversal of 95247684181 is 18148674259.

It is the 125995-th star number.

It can be written as a sum of positive squares in 16 ways, for example, as 87610672081 + 7637012100 = 295991^2 + 87390^2 .

It is a 10-Lehmer number, since φ(95247684181) divides (95247684181-1)10.

It is a cyclic number.

It is not a de Polignac number, because 95247684181 - 23 = 95247684173 is a prime.

It is a super-2 number, since 2×952476841812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95247684131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79306381 + ... + 79307581.

It is an arithmetic number, because the mean of its divisors is an integer number (3276466291).

Almost surely, 295247684181 is an apocalyptic number.

It is an amenable number.

95247684181 is a deficient number, since it is larger than the sum of its proper divisors (9599237131).

95247684181 is a wasteful number, since it uses less digits than its factorization.

95247684181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913.

The product of its digits is 3870720, while the sum is 55.

The spelling of 95247684181 in words is "ninety-five billion, two hundred forty-seven million, six hundred eighty-four thousand, one hundred eighty-one".

Divisors: 1 13 73 193 433 949 1201 2509 5629 14089 15613 31609 83569 87673 183157 231793 410917 520033 1086397 1139749 3013309 6100537 6760429 16920889 37962409 79306981 100366369 219971557 493511317 1304762797 7326744937 95247684181