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85399824944 = 2474761926209
BaseRepresentation
bin100111110001000111…
…0011110101000110000
322011102122211121021102
41033202032132220300
52344344323344234
6103122050343532
76112200351320
oct1174216365060
9264378747242
1085399824944
1133243a7a525
121467428aba8
13808ca733c5
1441c1d97280
15234c5a1c7e
hex13e239ea30

85399824944 has 80 divisors (see below), whose sum is σ = 193442380800. Its totient is φ = 35761969152.

The previous prime is 85399824911. The next prime is 85399824971. The reversal of 85399824944 is 44942899358.

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, 3245312 + ... + 3271520.

It is an arithmetic number, because the mean of its divisors is an integer number (2418029760).

Almost surely, 285399824944 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 85399824944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96721190400).

85399824944 is an abundant number, since it is smaller than the sum of its proper divisors (108042555856).

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

85399824944 is a wasteful number, since it uses less digits than its factorization.

85399824944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26890 (or 26884 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 65.

The spelling of 85399824944 in words is "eighty-five billion, three hundred ninety-nine million, eight hundred twenty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 329 376 619 658 752 1238 1316 2476 2632 4333 4952 5264 8666 9904 17332 26209 29093 34664 52418 58186 69328 104836 116372 183463 203651 209672 232744 366926 407302 419344 465488 733852 814604 1231823 1467704 1629208 2463646 2935408 3258416 4927292 8622761 9854584 16223371 17245522 19709168 32446742 34491044 64893484 68982088 113563597 129786968 137964176 227127194 259573936 454254388 762498437 908508776 1524996874 1817017552 3049993748 5337489059 6099987496 10674978118 12199974992 21349956236 42699912472 85399824944