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5089946368 = 281323292293
BaseRepresentation
bin1001011110110001…
…00110101100000000
3111010201122001210011
410233120212230000
540411011240433
62201023114304
7240063554533
oct45730465400
914121561704
105089946368
112182162051
12ba0742994
136316922b0
14363dd6a1a
151ebcc23cd
hex12f626b00

5089946368 has 144 divisors (see below), whose sum is σ = 11816118720. Its totient is φ = 2168635392.

The previous prime is 5089946359. The next prime is 5089946369. The reversal of 5089946368 is 8636499805.

It is a super-3 number, since 3×50899463683 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (5089946369) 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, 2218630 + ... + 2220922.

It is an arithmetic number, because the mean of its divisors is an integer number (82056380).

Almost surely, 25089946368 is an apocalyptic number.

5089946368 is a gapful number since it is divisible by the number (58) 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 5089946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908059360).

5089946368 is an abundant number, since it is smaller than the sum of its proper divisors (6726172352).

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

5089946368 is a wasteful number, since it uses less digits than its factorization.

5089946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The square root of 5089946368 is about 71343.8600581718. The cubic root of 5089946368 is about 1720.1688098242.

The spelling of 5089946368 in words is "five billion, eighty-nine million, nine hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 29 32 46 52 58 64 92 104 116 128 184 208 232 256 299 368 377 416 464 598 667 736 754 832 928 1196 1334 1472 1508 1664 1856 2293 2392 2668 2944 3016 3328 3712 4586 4784 5336 5888 6032 7424 8671 9172 9568 10672 12064 17342 18344 19136 21344 24128 29809 34684 36688 38272 42688 48256 52739 59618 66497 69368 73376 76544 85376 96512 105478 119236 132994 138736 146752 170752 210956 238472 265988 277472 293504 421912 476944 531976 554944 587008 685607 843824 864461 953888 1063952 1109888 1371214 1529431 1687648 1728922 1907776 2127904 2219776 2742428 3058862 3375296 3457844 3815552 4255808 5484856 6117724 6750592 6915688 7631104 8511616 10969712 12235448 13501184 13831376 17023232 19882603 21939424 24470896 27662752 39765206 43878848 48941792 55325504 79530412 87757696 97883584 110651008 159060824 175515392 195767168 221302016 318121648 391534336 636243296 1272486592 2544973184 5089946368