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5054356836 = 2232174412
BaseRepresentation
bin1001011010100001…
…10101110101100100
3111001020122221010100
410231100311311210
540322403404321
62153312224100
7236152216134
oct45520656544
914036587110
105054356836
112164064111
12b9083b030
136271b10b9
1435d3b0ac4
151e8ae2326
hex12d435d64

5054356836 has 135 divisors (see below), whose sum is σ = 13913967613. Its totient is φ = 1547005440.

The previous prime is 5054356823. The next prime is 5054356847. The reversal of 5054356836 is 6386534505.

The square root of 5054356836 is 71094.

It is a perfect power (a square), and thus also a powerful number.

5054356836 is a `hidden beast` number, since 5 + 0 + 54 + 3 + 568 + 36 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2391796836 + 2662560000 = 48906^2 + 51600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5054356791 and 5054356800.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 123276976 + ... + 123277016.

Almost surely, 25054356836 is an apocalyptic number.

5054356836 is the 71094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5054356836

5054356836 is an abundant number, since it is smaller than the sum of its proper divisors (8859610777).

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

5054356836 is an equidigital number, since it uses as much as digits as its factorization.

5054356836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The cubic root of 5054356836 is about 1716.1502183197.

The spelling of 5054356836 in words is "five billion, fifty-four million, three hundred fifty-six thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 68 82 102 123 153 164 204 246 289 306 369 492 578 612 697 738 867 1156 1394 1476 1681 1734 2091 2601 2788 3362 3468 4182 4913 5043 5202 6273 6724 8364 9826 10086 10404 11849 12546 14739 15129 19652 20172 23698 25092 28577 29478 30258 35547 44217 47396 57154 58956 60516 71094 83521 85731 88434 106641 114308 142188 167042 171462 176868 201433 213282 250563 257193 334084 342924 402866 426564 485809 501126 514386 604299 751689 805732 971618 1002252 1028772 1208598 1457427 1503378 1812897 1943236 2417196 2914854 3006756 3424361 3625794 4372281 5829708 6848722 7251588 8258753 8744562 10273083 13697444 16517506 17489124 20546166 24776259 30819249 33035012 41092332 49552518 61638498 74328777 99105036 123276996 140398801 148657554 280797602 297315108 421196403 561595204 842392806 1263589209 1684785612 2527178418 5054356836