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985163868 = 2232132193839
BaseRepresentation
bin111010101110000…
…110100001011100
32112122202111202200
4322232012201130
54004200220433
6241431251500
733261516603
oct7256064134
92478674680
10985163868
11466110217
12235b19b90
13129144300
1494ba8a3a
155b750613
hex3ab8685c

985163868 has 108 divisors (see below), whose sum is σ = 2713772880. Its totient is φ = 301197312.

The previous prime is 985163857. The next prime is 985163869. The reversal of 985163868 is 868361589.

985163868 is a `hidden beast` number, since 98 + 516 + 38 + 6 + 8 = 666.

985163868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985163869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1173793 + ... + 1174631.

Almost surely, 2985163868 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 985163868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356886440).

985163868 is an abundant number, since it is smaller than the sum of its proper divisors (1728609012).

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

985163868 is a wasteful number, since it uses less digits than its factorization.

985163868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1050 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 985163868 is about 31387.3201786964. The cubic root of 985163868 is about 995.0299623142.

The spelling of 985163868 in words is "nine hundred eighty-five million, one hundred sixty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 193 234 338 386 468 507 579 676 772 839 1014 1158 1521 1678 1737 2028 2316 2509 2517 3042 3356 3474 5018 5034 6084 6948 7527 7551 10036 10068 10907 15054 15102 21814 22581 30108 30204 32617 32721 43628 45162 65234 65442 90324 97851 98163 130468 130884 141791 161927 195702 196326 283582 293553 323854 391404 392652 425373 485781 567164 587106 647708 850746 971562 1174212 1276119 1457343 1701492 1943124 2105051 2552238 2914686 4210102 5104476 5829372 6315153 8420204 12630306 18945459 25260612 27365663 37890918 54731326 75781836 82096989 109462652 164193978 246290967 328387956 492581934 985163868