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5085914112 = 210321793083
BaseRepresentation
bin1001011110010010…
…01110010000000000
3111010110001012120100
410233021032100000
540403443222422
62200400442400
7240014361636
oct45711162000
914113035510
105085914112
11217a958604
12b9b319400
136308acb46
14363667356
151eb7777ac
hex12f24e400

5085914112 has 132 divisors (see below), whose sum is σ = 14772298320. Its totient is φ = 1685286912.

The previous prime is 5085914107. The next prime is 5085914117. The reversal of 5085914112 is 2114195805.

5085914112 is a `hidden beast` number, since 50 + 8 + 591 + 4 + 1 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (5085914107) and next prime (5085914117).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5085914117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1648123 + ... + 1651205.

Almost surely, 25085914112 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 5085914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7386149160).

5085914112 is an abundant number, since it is smaller than the sum of its proper divisors (9686384208).

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

5085914112 is a wasteful number, since it uses less digits than its factorization.

5085914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5085914112 is about 71315.5951528135. The cubic root of 5085914112 is about 1719.7144505233.

The spelling of 5085914112 in words is "five billion, eighty-five million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 256 288 358 384 512 537 576 716 768 1024 1074 1152 1432 1536 1611 2148 2304 2864 3072 3083 3222 4296 4608 5728 6166 6444 8592 9216 9249 11456 12332 12888 17184 18498 22912 24664 25776 27747 34368 36996 45824 49328 51552 55494 68736 73992 91648 98656 103104 110988 137472 147984 183296 197312 206208 221976 274944 295968 394624 412416 443952 549888 551857 591936 789248 824832 887904 1103714 1183872 1578496 1649664 1655571 1775808 2207428 2367744 3156992 3311142 3551616 4414856 4735488 4966713 6622284 7103232 8829712 9470976 9933426 13244568 14206464 17659424 19866852 26489136 28412928 35318848 39733704 52978272 70637696 79467408 105956544 141275392 158934816 211913088 282550784 317869632 423826176 565101568 635739264 847652352 1271478528 1695304704 2542957056 5085914112