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86444232196 = 2272210012
BaseRepresentation
bin101000010000001111…
…0100100111000000100
322021010110001222200111
41100200132210320010
52404014210412241
6103413435522404
76150111564400
oct1204036447004
9267113058614
1086444232196
113372a574113
1214905bb9404
1381c825b16a
144280984100
1523ae105c81
hex14207a4e04

86444232196 has 27 divisors (see below), whose sum is σ = 175984138197. Its totient is φ = 37045764000.

The previous prime is 86444232169. The next prime is 86444232223. The reversal of 86444232196 is 69123244468.

The square root of 86444232196 is 294014.

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 (86444232169) and next prime (86444232223).

It can be written as a sum of positive squares in only one way, i.e., 18636072196 + 67808160000 = 136514^2 + 260400^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4105696 + ... + 4126696.

Almost surely, 286444232196 is an apocalyptic number.

86444232196 is the 294014-th square number.

It is an amenable number.

86444232196 is an abundant number, since it is smaller than the sum of its proper divisors (89539906001).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86444232196 is an frugal number, since it uses more digits than its factorization.

86444232196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42020 (or 21010 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

Multiplying 86444232196 by its sum of digits (49), we get a square (4235767377604 = 20580982).

86444232196 divided by its sum of digits (49) gives a square (1764168004 = 420022).

The spelling of 86444232196 in words is "eighty-six billion, four hundred forty-four million, two hundred thirty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 196 21001 42002 84004 147007 294014 588028 1029049 2058098 4116196 441042001 882084002 1764168004 3087294007 6174588014 12349176028 21611058049 43222116098 86444232196