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5111436680 = 2357592771117
BaseRepresentation
bin1001100001010101…
…00101010110001000
3111012020001212221122
410300222211112020
540432011433210
62203111454412
7240444331520
oct46052452610
914166055848
105111436680
112193300039
12ba7987408
13635c77b5c
14366bcc680
151edb19b55
hex130aa5588

5111436680 has 128 divisors (see below), whose sum is σ = 13426732800. Its totient is φ = 1715033088.

The previous prime is 5111436679. The next prime is 5111436683. The reversal of 5111436680 is 866341115.

It is a super-2 number, since 2×51114366802 = 52253569867298844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5111436680.

It is not an unprimeable number, because it can be changed into a prime (5111436683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4575482 + ... + 4576598.

It is an arithmetic number, because the mean of its divisors is an integer number (104896350).

Almost surely, 25111436680 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 5111436680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6713366400).

5111436680 is an abundant number, since it is smaller than the sum of its proper divisors (8315296120).

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

5111436680 is a wasteful number, since it uses less digits than its factorization.

5111436680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 5111436680 is about 71494.3122213229. The cubic root of 5111436680 is about 1722.5863244858.

Adding to 5111436680 its reverse (866341115), we get a palindrome (5977777795).

The spelling of 5111436680 in words is "five billion, one hundred eleven million, four hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 70 118 140 236 277 280 295 413 472 554 590 826 1108 1117 1180 1385 1652 1939 2065 2216 2234 2360 2770 3304 3878 4130 4468 5540 5585 7756 7819 8260 8936 9695 11080 11170 15512 15638 16343 16520 19390 22340 31276 32686 38780 39095 44680 62552 65372 65903 77560 78190 81715 114401 130744 131806 156380 163430 228802 263612 309409 312760 326860 329515 457604 461321 527224 572005 618818 653720 659030 915208 922642 1144010 1237636 1318060 1547045 1845284 2165863 2288020 2306605 2475272 2636120 3094090 3690568 4331726 4576040 4613210 6188180 8663452 9226420 10829315 12376360 17326904 18255131 18452840 21658630 36510262 43317260 73020524 86634520 91275655 127785917 146041048 182551310 255571834 365102620 511143668 638929585 730205240 1022287336 1277859170 2555718340 5111436680