Search a number
-
+
86056716321 = 3219658176471
BaseRepresentation
bin101000000100101100…
…0010100100000100001
322020010102220010211200
41100021120110200201
52402221004410241
6103311154031413
76134365006452
oct1201130244041
9266112803750
1086056716321
1133550855764
1214818278569
138165b9b024
14424530d129
15238a0ab4b6
hex1409614821

86056716321 has 24 divisors (see below), whose sum is σ = 130868063040. Its totient is φ = 54342640800.

The previous prime is 86056716299. The next prime is 86056716407. The reversal of 86056716321 is 12361765068.

86056716321 is a `hidden beast` number, since 8 + 6 + 0 + 5 + 6 + 7 + 1 + 632 + 1 = 666.

It is not a de Polignac number, because 86056716321 - 29 = 86056715809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86056716121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087116 + ... + 1163586.

It is an arithmetic number, because the mean of its divisors is an integer number (5452835960).

Almost surely, 286056716321 is an apocalyptic number.

It is an amenable number.

86056716321 is a deficient number, since it is larger than the sum of its proper divisors (44811346719).

86056716321 is a wasteful number, since it uses less digits than its factorization.

86056716321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83077 (or 83074 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 86056716321 in words is "eighty-six billion, fifty-six million, seven hundred sixteen thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 171 6581 19743 59229 76471 125039 229413 375117 688239 1125351 1452949 4358847 13076541 503255651 1509766953 4529300859 9561857369 28685572107 86056716321