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95871356161 = 74712892
BaseRepresentation
bin101100101001001100…
…0001100110100000001
3100011110102212111121221
41121102120030310001
53032321031344121
6112013115515041
76632532040000
oct1312230146401
9304412774557
1095871356161
1137727976959
12166b7158a81
13906b358919
1448d69c0c37
152761a52b41
hex165260cd01

95871356161 has 45 divisors (see below), whose sum is σ = 114729640643. Its totient is φ = 80107732320.

The previous prime is 95871356149. The next prime is 95871356173. The reversal of 95871356161 is 16165317859.

The square root of 95871356161 is 309631.

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

It is an interprime number because it is at equal distance from previous prime (95871356149) and next prime (95871356173).

It can be written as a sum of positive squares in only one way, i.e., 18409333761 + 77462022400 = 135681^2 + 278320^2 .

It is not a de Polignac number, because 95871356161 - 27 = 95871356033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 95871356099 and 95871356108.

It is not an unprimeable number, because it can be changed into a prime (95871356261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1077206205 + ... + 1077206293.

Almost surely, 295871356161 is an apocalyptic number.

95871356161 is the 309631-st square number.

95871356161 is the 154816-th centered octagonal number.

It is an amenable number.

95871356161 is a deficient number, since it is larger than the sum of its proper divisors (18858284482).

95871356161 is an frugal number, since it uses more digits than its factorization.

95871356161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 167 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The spelling of 95871356161 in words is "ninety-five billion, eight hundred seventy-one million, three hundred fifty-six thousand, one hundred sixty-one".

Divisors: 1 7 49 71 89 343 497 623 2401 3479 4361 5041 6319 7921 24353 30527 35287 44233 55447 170471 213689 247009 309631 388129 448649 562391 1729063 2167417 2716903 3140543 3936737 12103441 15171919 19018321 21983801 27557159 39929761 153886607 192900113 279508327 1077206249 1350300791 1956558289 13695908023 95871356161