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2138113362 = 237117735987
BaseRepresentation
bin111111101110001…
…0000010101010010
312112000020102010210
41333130100111102
513334324111422
6552055104550
7103661443440
oct17734202522
95460212123
102138113362
119a7a00240
124b8072156
13280c73a48
14163d6bb90
15c7a9510c
hex7f710552

2138113362 has 64 divisors (see below), whose sum is σ = 5339188224. Its totient is φ = 554543040.

The previous prime is 2138113357. The next prime is 2138113391. The reversal of 2138113362 is 2633118312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354133 + ... + 360119.

It is an arithmetic number, because the mean of its divisors is an integer number (83424816).

Almost surely, 22138113362 is an apocalyptic number.

2138113362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138113362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669594112).

2138113362 is an abundant number, since it is smaller than the sum of its proper divisors (3201074862).

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

2138113362 is a wasteful number, since it uses less digits than its factorization.

2138113362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783.

The product of its digits is 5184, while the sum is 30.

The square root of 2138113362 is about 46239.7379101569. The cubic root of 2138113362 is about 1288.2799345411.

It can be divided in two parts, 21381 and 13362, that added together give a palindrome (34743).

The spelling of 2138113362 in words is "two billion, one hundred thirty-eight million, one hundred thirteen thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 773 1546 2319 4638 5411 5987 8503 10822 11974 16233 17006 17961 25509 32466 35922 41909 51018 59521 65857 83818 119042 125727 131714 178563 197571 251454 357126 395142 460999 921998 1382997 2765994 4627951 9255902 13883853 27767706 32395657 50907461 64791314 97186971 101814922 152722383 194373942 305444766 356352227 712704454 1069056681 2138113362