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13005234452 = 2272314745541
BaseRepresentation
bin11000001110010110…
…00010000100010100
31020120100122100210002
430013023002010110
5203113320000302
65550255150432
7640165445300
oct140713020424
936510570702
1013005234452
115574130151
12262b515418
1312c34b5402
148b532cd00
15511b37c02
hex3072c2114

13005234452 has 72 divisors (see below), whose sum is σ = 27911052288. Its totient is φ = 5278996800.

The previous prime is 13005234443. The next prime is 13005234457. The reversal of 13005234452 is 25443250031.

It is a happy number.

It is a super-2 number, since 2×130052344522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005234457) 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, 262802 + ... + 308342.

It is an arithmetic number, because the mean of its divisors is an integer number (387653504).

Almost surely, 213005234452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005234452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13955526144).

13005234452 is an abundant number, since it is smaller than the sum of its proper divisors (14905817836).

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

13005234452 is a wasteful number, since it uses less digits than its factorization.

13005234452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45637 (or 45628 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 13005234452 its reverse (25443250031), we get a palindrome (38448484483).

The spelling of 13005234452 in words is "thirteen billion, five million, two hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 31 47 49 62 94 98 124 188 196 217 329 434 658 868 1316 1457 1519 2303 2914 3038 4606 5828 6076 9212 10199 20398 40796 45541 71393 91082 142786 182164 285572 318787 637574 1275148 1411771 2140427 2231509 2823542 4280854 4463018 5647084 8561708 8926036 9882397 14982989 19764794 29965978 39529588 59931956 66353237 69176779 104880923 132706474 138353558 209761846 265412948 276707116 419523692 464472659 928945318 1857890636 3251308613 6502617226 13005234452