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5343632382 = 2311478272083
BaseRepresentation
bin1001111101000000…
…10101101111111110
3111210101222122120110
410332200111233332
541420432214012
62242124330450
7246264061104
oct47640255776
914711878513
105343632382
1122a2383110
1210516a3a26
136720c566a
14389991c74
152141d373c
hex13e815bfe

5343632382 has 64 divisors (see below), whose sum is σ = 11927015424. Its totient is φ = 1582153440.

The previous prime is 5343632381. The next prime is 5343632383. The reversal of 5343632382 is 2832363435.

It is an interprime number because it is at equal distance from previous prime (5343632381) and next prime (5343632383).

It is a self number, because there is not a number n which added to its sum of digits gives 5343632382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343632381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564313 + ... + 2566395.

It is an arithmetic number, because the mean of its divisors is an integer number (186359616).

Almost surely, 25343632382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5343632382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963507712).

5343632382 is an abundant number, since it is smaller than the sum of its proper divisors (6583383042).

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

5343632382 is a wasteful number, since it uses less digits than its factorization.

5343632382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973.

The product of its digits is 311040, while the sum is 39.

The square root of 5343632382 is about 73100.1530914950. The cubic root of 5343632382 is about 1748.2848372990.

The spelling of 5343632382 in words is "five billion, three hundred forty-three million, six hundred thirty-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 827 1034 1551 1654 2083 2481 3102 4166 4962 6249 9097 12498 18194 22913 27291 38869 45826 54582 68739 77738 97901 116607 137478 195802 233214 293703 427559 587406 855118 1076911 1282677 1722641 2153822 2565354 3230733 3445282 5167923 6461466 10335846 18949051 37898102 56847153 80964127 113694306 161928254 242892381 485784762 890605397 1781210794 2671816191 5343632382