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5106022284 = 22311174748413
BaseRepresentation
bin1001100000101011…
…11011011110001100
3111011211212210210110
410300111323132030
540424120203114
62202355440020
7240350321226
oct46025733614
914154783713
105106022284
112190242130
12ba5bb6010
13634b0057c
143661bd416
151ed3ea759
hex13057b78c

5106022284 has 96 divisors (see below), whose sum is σ = 14054777856. Its totient is φ = 1425249280.

The previous prime is 5106022261. The next prime is 5106022319. The reversal of 5106022284 is 4822206015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81262 + ... + 129674.

It is an arithmetic number, because the mean of its divisors is an integer number (146403936).

Almost surely, 25106022284 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 5106022284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027388928).

5106022284 is an abundant number, since it is smaller than the sum of its proper divisors (8948755572).

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

5106022284 is a wasteful number, since it uses less digits than its factorization.

5106022284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48495 (or 48493 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5106022284 is about 71456.4362671411. The cubic root of 5106022284 is about 1721.9778810925.

Adding to 5106022284 its reverse (4822206015), we get a palindrome (9928228299).

The spelling of 5106022284 in words is "five billion, one hundred six million, twenty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 47 51 66 68 94 102 132 141 187 188 204 282 374 517 561 564 748 799 1034 1122 1551 1598 2068 2244 2397 3102 3196 4794 6204 8789 9588 17578 26367 35156 48413 52734 96826 105468 145239 193652 290478 532543 580956 823021 1065086 1597629 1646042 2130172 2275411 2469063 3195258 3292084 4550822 4938126 6390516 6826233 9053231 9101644 9876252 13652466 18106462 25029521 27159693 27304932 36212924 38681987 50059042 54319386 75088563 77363974 100118084 108638772 116045961 150177126 154727948 232091922 300354252 425501857 464183844 851003714 1276505571 1702007428 2553011142 5106022284