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85392384792 = 2331113104923719
BaseRepresentation
bin100111110000111001…
…0000110001100011000
322011102010211121022020
41033201302012030120
52344340422303132
6103121223054440
76112050203031
oct1174162061430
9264363747266
1085392384792
113323a858640
12146718a1420
13808b369a50
1441c0dbba88
15234bad252c
hex13e1c86318

85392384792 has 128 divisors (see below), whose sum is σ = 251052480000. Its totient is φ = 23862205440.

The previous prime is 85392384683. The next prime is 85392384793. The reversal of 85392384792 is 29748329358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85392384793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3588309 + ... + 3612027.

It is an arithmetic number, because the mean of its divisors is an integer number (1961347500).

Almost surely, 285392384792 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 85392384792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125526240000).

85392384792 is an abundant number, since it is smaller than the sum of its proper divisors (165660095208).

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

85392384792 is a wasteful number, since it uses less digits than its factorization.

85392384792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24801 (or 24797 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 85392384792 in words is "eighty-five billion, three hundred ninety-two million, three hundred eighty-four thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1049 1144 1716 2098 3147 3432 4196 6294 8392 11539 12588 13637 23078 23719 25176 27274 34617 40911 46156 47438 54548 69234 71157 81822 92312 94876 109096 138468 142314 150007 163644 189752 260909 276936 284628 300014 308347 327288 450021 521818 569256 600028 616694 782727 900042 925041 1043636 1200056 1233388 1565454 1800084 1850082 2087272 2466776 3130908 3391817 3600168 3700164 6261816 6783634 7400328 10175451 13567268 20350902 24881231 27134536 40701804 49762462 74643693 81403608 99524924 149287386 199049848 273693541 298574772 323456003 547387082 597149544 646912006 821080623 970368009 1094774164 1293824012 1642161246 1940736018 2189548328 2587648024 3284322492 3558016033 3881472036 6568644984 7116032066 7762944072 10674048099 14232064132 21348096198 28464128264 42696192396 85392384792