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85618271236 = 2223263612
BaseRepresentation
bin100111110111100111…
…1110010010000000100
322011222212212211020211
41033233033302100010
52400321234134421
6103155452405204
76120462204061
oct1175717622004
9264885784224
1085618271236
1133346311453
1214715476804
1380c60b8874
144202dbbc68
1523618519e1
hex13ef3f2404

85618271236 has 27 divisors (see below), whose sum is σ = 156654271893. Its totient is φ = 40941431520.

The previous prime is 85618271209. The next prime is 85618271261. The reversal of 85618271236 is 63217281658.

It is a happy number.

The square root of 85618271236 is 292606.

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

It can be written as a sum of positive squares in only one way, i.e., 21142904836 + 64475366400 = 145406^2 + 253920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85618271236.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13456696 + ... + 13463056.

Almost surely, 285618271236 is an apocalyptic number.

85618271236 is the 292606-th square number.

It is an amenable number.

85618271236 is a deficient number, since it is larger than the sum of its proper divisors (71036000657).

85618271236 is an frugal number, since it uses more digits than its factorization.

85618271236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 6386 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

Multiplying 85618271236 by its sum of digits (49), we get a square (4195295290564 = 20482422).

The spelling of 85618271236 in words is "eighty-five billion, six hundred eighteen million, two hundred seventy-one thousand, two hundred thirty-six".

Divisors: 1 2 4 23 46 92 529 1058 2116 6361 12722 25444 146303 292606 585212 3364969 6729938 13459876 40462321 80924642 161849284 930633383 1861266766 3722533532 21404567809 42809135618 85618271236