Search a number
-
+
76086272331 = 32192361931253
BaseRepresentation
bin100011011011100011…
…0000110000101001011
321021101120202002221100
41012313012012011023
52221311041203311
654541544512443
75332326433566
oct1066706060513
9237346662840
1076086272331
112a2a4798603
12128b517b723
13723735b724
14397b0814dd
151ea4adaa56
hex11b718614b

76086272331 has 48 divisors (see below), whose sum is σ = 120915475200. Its totient is φ = 45889436736.

The previous prime is 76086272303. The next prime is 76086272333. The reversal of 76086272331 is 13327268067.

76086272331 is a `hidden beast` number, since 7 + 608 + 6 + 2 + 7 + 2 + 3 + 31 = 666.

It is not a de Polignac number, because 76086272331 - 27 = 76086272203 is a prime.

It is a super-2 number, since 2×760862723312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76086272333) 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 47 ways as a sum of consecutive naturals, for example, 2418901 + ... + 2450153.

It is an arithmetic number, because the mean of its divisors is an integer number (2519072400).

Almost surely, 276086272331 is an apocalyptic number.

76086272331 is a deficient number, since it is larger than the sum of its proper divisors (44829202869).

76086272331 is a wasteful number, since it uses less digits than its factorization.

76086272331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31920 (or 31917 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 76086272331 in words is "seventy-six billion, eighty-six million, two hundred seventy-two thousand, three hundred thirty-one".

Divisors: 1 3 9 19 23 57 69 171 207 437 619 1311 1857 3933 5571 11761 14237 31253 35283 42711 93759 105849 128133 270503 281277 593807 718819 811509 1781421 2156457 2434527 5344263 6469371 13657561 19345607 40972683 58036821 122918049 174110463 367566533 444948961 1102699599 1334846883 3308098797 4004540649 8454030259 25362090777 76086272331