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5090367816 = 2332897691033
BaseRepresentation
bin1001011110110100…
…01101100101001000
3111010202102110220100
410233122031211020
540411113232231
62201040125400
7240100261332
oct45732154510
914122373810
105090367816
11218241a756
12ba0906860
136317ac081
143640a6452
151ebd571e6
hex12f68d948

5090367816 has 96 divisors (see below), whose sum is σ = 13972959000. Its totient is φ = 1673920512.

The previous prime is 5090367809. The next prime is 5090367823. The reversal of 5090367816 is 6187630905.

It is a happy number.

5090367816 is a `hidden beast` number, since 509 + 0 + 3 + 67 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5090367809) and next prime (5090367823).

It can be written as a sum of positive squares in 4 ways, for example, as 4604165316 + 486202500 = 67854^2 + 22050^2 .

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4927236 + ... + 4928268.

Almost surely, 25090367816 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 5090367816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6986479500).

5090367816 is an abundant number, since it is smaller than the sum of its proper divisors (8882591184).

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

5090367816 is a wasteful number, since it uses less digits than its factorization.

5090367816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5090367816 is about 71346.8136359291. The cubic root of 5090367816 is about 1720.2162852227.

The spelling of 5090367816 in words is "five billion, ninety million, three hundred sixty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 769 801 1033 1068 1538 1602 2066 2136 2307 3076 3099 3204 4132 4614 6152 6198 6408 6921 8264 9228 9297 12396 13842 18456 18594 24792 27684 37188 55368 68441 74376 91937 136882 183874 205323 273764 275811 367748 410646 547528 551622 615969 735496 794377 821292 827433 1103244 1231938 1588754 1642584 1654866 2206488 2383131 2463876 3177508 3309732 4766262 4927752 6355016 6619464 7149393 9532524 14298786 19065048 28597572 57195144 70699553 141399106 212098659 282798212 424197318 565596424 636295977 848394636 1272591954 1696789272 2545183908 5090367816