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49684132368 = 243213145918191
BaseRepresentation
bin101110010001011001…
…111011001000010000
311202020120110102200200
4232101121323020100
51303223114213433
634454035215200
73406135104603
oct562131731020
9152216412620
1049684132368
111a086441022
129767147500
1348ba4a76c0
1425947ca33a
15145bc9e613
hexb9167b210

49684132368 has 120 divisors (see below), whose sum is σ = 149853325440. Its totient is φ = 15276107520.

The previous prime is 49684132367. The next prime is 49684132373. The reversal of 49684132368 is 86323148694.

49684132368 is a `hidden beast` number, since 496 + 84 + 13 + 2 + 3 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49684132367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2722153 + ... + 2740343.

It is an arithmetic number, because the mean of its divisors is an integer number (1248777712).

Almost surely, 249684132368 is an apocalyptic number.

49684132368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49684132368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74926662720).

49684132368 is an abundant number, since it is smaller than the sum of its proper divisors (100169193072).

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

49684132368 is a wasteful number, since it uses less digits than its factorization.

49684132368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19677 (or 19668 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 49684132368 in words is "forty-nine billion, six hundred eighty-four million, one hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1459 1872 2918 4377 5836 8754 11672 13131 17508 18191 18967 23344 26262 35016 36382 37934 52524 54573 56901 70032 72764 75868 105048 109146 113802 145528 151736 163719 170703 210096 218292 227604 236483 291056 303472 327438 341406 436584 455208 472966 654876 682812 709449 873168 910416 945932 1309752 1365624 1418898 1891864 2128347 2619504 2731248 2837796 3783728 4256694 5675592 8513388 11351184 17026776 26540669 34053552 53081338 79622007 106162676 159244014 212325352 238866021 318488028 345028697 424650704 477732042 636976056 690057394 955464084 1035086091 1273952112 1380114788 1910928168 2070172182 2760229576 3105258273 3821856336 4140344364 5520459152 6210516546 8280688728 12421033092 16561377456 24842066184 49684132368