Search a number
-
+
5111411433352 = 2372193241280337
BaseRepresentation
bin100101001100001011111…
…0111001101111110001000
3200002122110001101100100121
41022120113313031332020
51132221132311331402
614512052222113024
71035200353214500
oct112302767157610
920078401340317
105111411433352
1116a0812555414
126a676141b774
132b1008b13a23
141395721b6a00
158ce5d6bb837
hex4a617dcdf88

5111411433352 has 96 divisors (see below), whose sum is σ = 11252918702520. Its totient is φ = 2170204323840.

The previous prime is 5111411433347. The next prime is 5111411433431. The reversal of 5111411433352 is 2533341141115.

It can be written as a sum of positive squares in 4 ways, for example, as 3498343788996 + 1613067644356 = 1870386^2 + 1270066^2 .

It is a super-2 number, since 2×51114114333522 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18092928 + ... + 18373264.

Almost surely, 25111411433352 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 5111411433352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5626459351260).

5111411433352 is an abundant number, since it is smaller than the sum of its proper divisors (6141507269168).

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

5111411433352 is a wasteful number, since it uses less digits than its factorization.

5111411433352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280791 (or 280780 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

Adding to 5111411433352 its reverse (2533341141115), we get a palindrome (7644752574467).

The spelling of 5111411433352 in words is "five trillion, one hundred eleven billion, four hundred eleven million, four hundred thirty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 241 386 392 482 772 964 1351 1544 1687 1928 2702 3374 5404 6748 9457 10808 11809 13496 18914 23618 37828 46513 47236 75656 93026 94472 186052 280337 325591 372104 560674 651182 1121348 1302364 1962359 2242696 2279137 2604728 3924718 4558274 7849436 9116548 13736513 15698872 18233096 27473026 54105041 54946052 67561217 108210082 109892104 135122434 216420164 270244868 378735287 432840328 472928519 540489736 757470574 945857038 1514941148 1891714076 2651147009 3029882296 3310499633 3783428152 5302294018 6620999266 10604588036 13039314881 13241998532 21209176072 26078629762 26483997064 52157259524 91275204167 104314519048 182550408334 365100816668 638926429169 730201633336 1277852858338 2555705716676 5111411433352