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1085016912 = 243716012017
BaseRepresentation
bin100000010101100…
…0000101101010000
32210121122120101120
41000223000231100
54210231020122
6255355402240
735613330420
oct10053005520
92717576346
101085016912
115075112a1
12263453380
13143a35c55
14a415c480
15653c675c
hex40ac0b50

1085016912 has 80 divisors (see below), whose sum is σ = 3206973312. Its totient is φ = 309657600.

The previous prime is 1085016883. The next prime is 1085016917. The reversal of 1085016912 is 2196105801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085016917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536928 + ... + 538944.

Almost surely, 21085016912 is an apocalyptic number.

1085016912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1085016912 is an abundant number, since it is smaller than the sum of its proper divisors (2121956400).

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

1085016912 is a wasteful number, since it uses less digits than its factorization.

1085016912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3636 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 1085016912 is about 32939.5948973268. The cubic root of 1085016912 is about 1027.5717808497.

Subtracting 1085016912 from its reverse (2196105801), we obtain a square (1111088889 = 333332).

The spelling of 1085016912 in words is "one billion, eighty-five million, sixteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1601 2017 3202 4034 4803 6051 6404 8068 9606 11207 12102 12808 14119 16136 19212 22414 24204 25616 28238 32272 33621 38424 42357 44828 48408 56476 67242 76848 84714 89656 96816 112952 134484 169428 179312 225904 268968 338856 537936 677712 3229217 6458434 9687651 12916868 19375302 22604519 25833736 38750604 45209038 51667472 67813557 77501208 90418076 135627114 155002416 180836152 271254228 361672304 542508456 1085016912