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5876340912 = 243313280489
BaseRepresentation
bin1010111100100000…
…11101100010110000
3120011112101001022000
411132100131202300
544013320402122
62411034214000
7265423034151
oct53620354260
916145331260
105876340912
11254604a9a2
12117bb84300
13728590500
143da61d928
15245d5d0ac
hex15e41d8b0

5876340912 has 120 divisors (see below), whose sum is σ = 18264790800. Its totient is φ = 1808082432.

The previous prime is 5876340871. The next prime is 5876340917. The reversal of 5876340912 is 2190436785.

5876340912 is a `hidden beast` number, since 5 + 8 + 7 + 634 + 0 + 9 + 1 + 2 = 666.

5876340912 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5876340912 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5876340917) 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, 32764 + ... + 113252.

It is an arithmetic number, because the mean of its divisors is an integer number (152206590).

It is a 1-persistent number, because it is pandigital, but 2⋅5876340912 = 11752681824 is not.

Almost surely, 25876340912 is an apocalyptic number.

5876340912 is a gapful number since it is divisible by the number (52) 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 5876340912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9132395400).

5876340912 is an abundant number, since it is smaller than the sum of its proper divisors (12388449888).

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

5876340912 is a wasteful number, since it uses less digits than its factorization.

5876340912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80532 (or 80507 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5876340912 is about 76657.2952301345. The cubic root of 5876340912 is about 1804.5503095752.

The spelling of 5876340912 in words is "five billion, eight hundred seventy-six million, three hundred forty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 169 208 216 234 312 338 351 432 468 507 624 676 702 936 1014 1352 1404 1521 1872 2028 2704 2808 3042 4056 4563 5616 6084 8112 9126 12168 18252 24336 36504 73008 80489 160978 241467 321956 482934 643912 724401 965868 1046357 1287824 1448802 1931736 2092714 2173203 2897604 3139071 3863472 4185428 4346406 5795208 6278142 8370856 8692812 9417213 11590416 12556284 13602641 16741712 17385624 18834426 25112568 27205282 28251639 34771248 37668852 40807923 50225136 54410564 56503278 75337704 81615846 108821128 113006556 122423769 150675408 163231692 217642256 226013112 244847538 326463384 367271307 452026224 489695076 652926768 734542614 979390152 1469085228 1958780304 2938170456 5876340912