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85420180032 = 26311122932909
BaseRepresentation
bin100111110001101110…
…0001000001001000000
322011111002010202012120
41033203130020021000
52344420031230112
6103124054524240
76112535356515
oct1174334101100
9264432122176
1085420180032
1133254512610
121467b066680
13809404c335
1441c497530c
15234e272e8c
hex13e3708240

85420180032 has 112 divisors (see below), whose sum is σ = 246761812800. Its totient is φ = 25863055360.

The previous prime is 85420180009. The next prime is 85420180091. The reversal of 85420180032 is 23008102458.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 85420179975 and 85420180002.

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, 2579194 + ... + 2612102.

Almost surely, 285420180032 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 85420180032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123380906400).

85420180032 is an abundant number, since it is smaller than the sum of its proper divisors (161341632768).

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

85420180032 is a wasteful number, since it uses less digits than its factorization.

85420180032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34164 (or 34154 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 85420180032 in words is "eighty-five billion, four hundred twenty million, one hundred eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 1229 2112 2458 3687 4916 7374 9832 13519 14748 19664 27038 29496 32909 39328 40557 54076 58992 65818 78656 81114 98727 108152 117984 131636 162228 197454 216304 235968 263272 324456 361999 394908 432608 526544 648912 723998 789816 865216 1053088 1085997 1297824 1447996 1579632 2106176 2171994 2595648 2895992 3159264 4343988 5791984 6318528 8687976 11583968 17375952 23167936 34751904 40445161 69503808 80890322 121335483 161780644 242670966 323561288 444896771 485341932 647122576 889793542 970683864 1294245152 1334690313 1779587084 1941367728 2588490304 2669380626 3559174168 3882735456 5338761252 7118348336 7765470912 10677522504 14236696672 21355045008 28473393344 42710090016 85420180032