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85026378024 = 23337487115471
BaseRepresentation
bin100111100101111110…
…1111001000100101000
322010110122010112102000
41033023331321010220
52343113223044044
6103021030211000
76100014200640
oct1171375710450
9263418115360
1085026378024
11330721a0305
121458b1b3a60
13803059abb3
144188545520
1523298d5d69
hex13cbf79128

85026378024 has 128 divisors (see below), whose sum is σ = 270481612800. Its totient is φ = 24243157440.

The previous prime is 85026378011. The next prime is 85026378043. The reversal of 85026378024 is 42087362058.

85026378024 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 637 + 8 + 0 + 2 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678609 + ... + 794079.

It is an arithmetic number, because the mean of its divisors is an integer number (2113137600).

Almost surely, 285026378024 is an apocalyptic number.

85026378024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85026378024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135240806400).

85026378024 is an abundant number, since it is smaller than the sum of its proper divisors (185455234776).

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

85026378024 is a wasteful number, since it uses less digits than its factorization.

85026378024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115980 (or 115970 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 85026378024 in words is "eighty-five billion, twenty-six million, three hundred seventy-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 487 504 756 974 1461 1512 1948 2922 3409 3896 4383 5844 6818 8766 10227 11688 13149 13636 17532 20454 26298 27272 30681 35064 40908 52596 61362 81816 92043 105192 115471 122724 184086 230942 245448 346413 368172 461884 692826 736344 808297 923768 1039239 1385652 1616594 2078478 2424891 2771304 3117717 3233188 4156956 4849782 6235434 6466376 7274673 8313912 9699564 12470868 14549346 19399128 21824019 24941736 29098692 43648038 56234377 58197384 87296076 112468754 168703131 174592152 224937508 337406262 393640639 449875016 506109393 674812524 787281278 1012218786 1180921917 1349625048 1518328179 1574562556 2024437572 2361843834 3036656358 3149125112 3542765751 4048875144 4723687668 6073312716 7085531502 9447375336 10628297253 12146625432 14171063004 21256594506 28342126008 42513189012 85026378024