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85808205720 = 233251663143329
BaseRepresentation
bin100111111101010010…
…0010100111110011000
322012111010021111101100
41033322210110332120
52401213400040340
6103230355351400
76125256466656
oct1177244247630
9265433244340
1085808205720
1133433549aa6
1214768bb2560
13812655a533
1442202dddd6
15237336d830
hex13fa914f98

85808205720 has 96 divisors (see below), whose sum is σ = 279046310400. Its totient is φ = 22868269056.

The previous prime is 85808205709. The next prime is 85808205737. The reversal of 85808205720 is 2750280858.

85808205720 is a `hidden beast` number, since 8 + 58 + 0 + 8 + 20 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527016 + ... + 670344.

It is an arithmetic number, because the mean of its divisors is an integer number (2906732400).

Almost surely, 285808205720 is an apocalyptic number.

It is an amenable number.

85808205720 is an abundant number, since it is smaller than the sum of its proper divisors (193238104680).

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

85808205720 is a wasteful number, since it uses less digits than its factorization.

85808205720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145009 (or 145002 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 85808205720 in words is "eighty-five billion, eight hundred eight million, two hundred five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1663 3326 4989 6652 8315 9978 13304 14967 16630 19956 24945 29934 33260 39912 49890 59868 66520 74835 99780 119736 143329 149670 199560 286658 299340 429987 573316 598680 716645 859974 1146632 1289961 1433290 1719948 2149935 2579922 2866580 3439896 4299870 5159844 5733160 6449805 8599740 10319688 12899610 17199480 25799220 51598440 238356127 476712254 715068381 953424508 1191780635 1430136762 1906849016 2145205143 2383561270 2860273524 3575341905 4290410286 4767122540 5720547048 7150683810 8580820572 9534245080 10726025715 14301367620 17161641144 21452051430 28602735240 42904102860 85808205720