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5341105432 = 23131014611103
BaseRepresentation
bin1001111100101101…
…01100110100011000
3111210020020021020201
410332112230310120
541414310333212
62241554231544
7246233434645
oct47626546430
914706207221
105341105432
1122a0a07623
1210508855b4
1367171c420
143894d4dcc
15213d84b57
hex13e5acd18

5341105432 has 64 divisors (see below), whose sum is σ = 10925228160. Its totient is φ = 2433216000.

The previous prime is 5341105381. The next prime is 5341105433. The reversal of 5341105432 is 2345011435.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5341105432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5341105433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4841793 + ... + 4842895.

It is an arithmetic number, because the mean of its divisors is an integer number (170706690).

Almost surely, 25341105432 is an apocalyptic number.

5341105432 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 5341105432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462614080).

5341105432 is an abundant number, since it is smaller than the sum of its proper divisors (5584122728).

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

5341105432 is a wasteful number, since it uses less digits than its factorization.

5341105432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 5341105432 is about 73082.8668841063. The cubic root of 5341105432 is about 1748.0092117432.

Adding to 5341105432 its reverse (2345011435), we get a palindrome (7686116867).

The spelling of 5341105432 in words is "five billion, three hundred forty-one million, one hundred five thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 101 104 202 404 461 808 922 1103 1313 1844 2206 2626 3688 4412 5252 5993 8824 10504 11986 14339 23972 28678 46561 47944 57356 93122 111403 114712 186244 222806 372488 445612 508483 605293 891224 1016966 1210586 1448239 2033932 2421172 2896478 4067864 4842344 5792956 6610279 11585912 13220558 26441116 51356783 52882232 102713566 205427132 410854264 667638179 1335276358 2670552716 5341105432