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86086494025 = 52728321012
BaseRepresentation
bin101000000101100100…
…1111010011101001001
322020012111221000011121
41100023021322131021
52402301120302100
6103314140155241
76135206061100
oct1201311723511
9266174830147
1086086494025
1133566644134
1214826238b21
13816c0c5a7c
144249261037
15238c9de51a
hex140b27a749

86086494025 has 81 divisors (see below), whose sum is σ = 126946261173. Its totient is φ = 57742104000.

The previous prime is 86086494023. The next prime is 86086494029. The reversal of 86086494025 is 52049468068.

The square root of 86086494025 is 293405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15895409929 + 70191084096 = 126077^2 + 264936^2 .

It is not a de Polignac number, because 86086494025 - 21 = 86086494023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86086494023) 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 80 ways as a sum of consecutive naturals, for example, 852341475 + ... + 852341575.

Almost surely, 286086494025 is an apocalyptic number.

86086494025 is the 293405-th square number.

86086494025 is the 146703-rd centered octagonal number.

It is an amenable number.

86086494025 is a deficient number, since it is larger than the sum of its proper divisors (40859767148).

86086494025 is an equidigital number, since it uses as much as digits as its factorization.

86086494025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 86086494025 in words is "eighty-six billion, eighty-six million, four hundred ninety-four thousand, twenty-five".

Divisors: 1 5 7 25 35 49 83 101 175 245 415 505 581 707 1225 2075 2525 2905 3535 4067 4949 6889 8383 10201 14525 17675 20335 24745 34445 41915 48223 51005 58681 71407 101675 123725 172225 209575 241115 255025 293405 337561 357035 410767 499849 695789 846683 1205575 1467025 1687805 1785175 2053835 2499245 3478945 4233415 4870523 5926781 8439025 10269175 12496225 17394725 21167075 24352615 29633905 34093661 41487467 70274689 121763075 148169525 170468305 207437335 351373445 491922823 852341525 1037186675 1756867225 2459614115 3443459761 12298070575 17217298805 86086494025