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85890835728 = 2434431541251
BaseRepresentation
bin100111111111101111…
…1100010010100010000
322012200212202112110000
41033333133202110100
52401401023220403
6103242510410000
76130312025535
oct1177737422420
9265625675400
1085890835728
1133476157165
1214790800900
13813a6cba29
14422b28cd8c
15237a7417a3
hex13ff7e2510

85890835728 has 100 divisors (see below), whose sum is σ = 254374395088. Its totient is φ = 27964440000.

The previous prime is 85890835721. The next prime is 85890835733. The reversal of 85890835728 is 82753809858.

85890835728 is a `hidden beast` number, since 8 + 58 + 9 + 0 + 8 + 3 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (85890835721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 714898 + ... + 826353.

Almost surely, 285890835728 is an apocalyptic number.

It is an amenable number.

85890835728 is an abundant number, since it is smaller than the sum of its proper divisors (168483559360).

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

85890835728 is a wasteful number, since it uses less digits than its factorization.

85890835728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541314 (or 1541299 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 85890835728 in words is "eighty-five billion, eight hundred ninety million, eight hundred thirty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1548 2064 2322 3096 3483 4644 6192 6966 9288 13932 18576 27864 55728 1541251 3082502 4623753 6165004 9247506 12330008 13871259 18495012 24660016 27742518 36990024 41613777 55485036 66273793 73980048 83227554 110970072 124841331 132547586 166455108 198821379 221940144 249682662 265095172 332910216 397642758 499365324 530190344 596464137 665820432 795285516 998730648 1060380688 1192928274 1590571032 1789392411 1997461296 2385856548 3181142064 3578784822 4771713096 5368177233 7157569644 9543426192 10736354466 14315139288 21472708932 28630278576 42945417864 85890835728