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85285058256 = 2432592257349
BaseRepresentation
bin100111101101101100…
…0101011011011010000
322011010122212211222100
41033123120223123100
52344130433331011
6103102430440400
76106305014466
oct1173330533320
9264118784870
1085285058256
1133195212622
1214641963100
13807205c518
1441b0a40836
152342481d56
hex13db62b6d0

85285058256 has 30 divisors (see below), whose sum is σ = 238679712050. Its totient is φ = 28428352704.

The previous prime is 85285058231. The next prime is 85285058267. The reversal of 85285058256 is 65285058258.

85285058256 is a `hidden beast` number, since 8 + 5 + 2 + 8 + 5 + 0 + 582 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74430752400 + 10854305856 = 272820^2 + 104184^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 296128531 + ... + 296128818.

Almost surely, 285285058256 is an apocalyptic number.

It is an amenable number.

85285058256 is an abundant number, since it is smaller than the sum of its proper divisors (153394653794).

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

85285058256 is a wasteful number, since it uses less digits than its factorization.

85285058256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592257363 (or 592257354 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 54.

The spelling of 85285058256 in words is "eighty-five billion, two hundred eighty-five million, fifty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 592257349 1184514698 1776772047 2369029396 3553544094 4738058792 5330316141 7107088188 9476117584 10660632282 14214176376 21321264564 28428352752 42642529128 85285058256