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85243812304 = 2472238274127
BaseRepresentation
bin100111101100011101…
…1010101100111010000
322011000210021100011111
41033120323111213100
52344034403443204
6103054354423104
76105264310060
oct1173073254720
9264023240144
1085243812304
1133173a00962
121462bb91a94
13806664a831
1441a93853a0
15233da35d04
hex13d8ed59d0

85243812304 has 80 divisors (see below), whose sum is σ = 189875847168. Its totient is φ = 36316457856.

The previous prime is 85243812299. The next prime is 85243812319. The reversal of 85243812304 is 40321834258.

It is a super-2 number, since 2×852438123042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20653089 + ... + 20657215.

Almost surely, 285243812304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85243812304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94937923584).

85243812304 is an abundant number, since it is smaller than the sum of its proper divisors (104632034864).

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

85243812304 is a wasteful number, since it uses less digits than its factorization.

85243812304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 85243812304 in words is "eighty-five billion, two hundred forty-three million, eight hundred twelve thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 223 446 827 892 1561 1654 1784 3122 3308 3568 4127 5789 6244 6616 8254 11578 12488 13232 16508 23156 24976 28889 33016 46312 57778 66032 92624 115556 184421 231112 368842 462224 737684 920321 1290947 1475368 1840642 2581894 2950736 3413029 3681284 5163788 6442247 6826058 7362568 10327576 12884494 13652116 14725136 20655152 23891203 25768988 27304232 47782406 51537976 54608464 95564812 103075952 191129624 382259248 761105467 1522210934 3044421868 5327738269 6088843736 10655476538 12177687472 21310953076 42621906152 85243812304