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85457031408 = 24327467918119
BaseRepresentation
bin100111110010110100…
…0101101000011110000
322011120122110222210100
41033211220231003300
52400004000001113
6103131452432400
76113463532110
oct1174550550360
9264518428710
1085457031408
11332732a25a1
121468b478700
13809b882998
1441c9809040
152352601d73
hex13e5a2d0f0

85457031408 has 120 divisors (see below), whose sum is σ = 273400358400. Its totient is φ = 24409729152.

The previous prime is 85457031377. The next prime is 85457031421. The reversal of 85457031408 is 80413075458.

85457031408 is a `hidden beast` number, since 8 + 5 + 4 + 570 + 31 + 40 + 8 = 666.

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, 4707373 + ... + 4725491.

It is an arithmetic number, because the mean of its divisors is an integer number (2278336320).

Almost surely, 285457031408 is an apocalyptic number.

It is an amenable number.

85457031408 is an abundant number, since it is smaller than the sum of its proper divisors (187943326992).

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

85457031408 is a wasteful number, since it uses less digits than its factorization.

85457031408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 85457031408 in words is "eighty-five billion, four hundred fifty-seven million, thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 4679 9358 14037 18119 18716 28074 32753 36238 37432 42111 54357 56148 65506 72476 74864 84222 98259 108714 112296 126833 131012 144952 163071 168444 196518 217428 224592 253666 262024 289904 294777 326142 336888 380499 393036 434856 507332 524048 589554 652284 673776 760998 786072 869712 1014664 1141497 1179108 1304568 1521996 1572144 2029328 2282994 2358216 2609136 3043992 4565988 4716432 6087984 9131976 18263952 84778801 169557602 254336403 339115204 508672806 593451607 678230408 763009209 1017345612 1186903214 1356460816 1526018418 1780354821 2034691224 2373806428 3052036836 3560709642 4069382448 4747612856 5341064463 6104073672 7121419284 9495225712 10682128926 12208147344 14242838568 21364257852 28485677136 42728515704 85457031408