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45342045342 = 232111012299901
BaseRepresentation
bin101010001110100110…
…001011010010011110
311100000222001120001200
4222032212023102132
51220330030422332
632455125220330
73163422012006
oct521646132236
9140028046050
1045342045342
1118258447850
128954b616a6
134377a40739
1422a1c69006
1512a59a517c
hexa8e98b49e

45342045342 has 96 divisors (see below), whose sum is σ = 108716830560. Its totient is φ = 13543200000.

The previous prime is 45342045299. The next prime is 45342045361. The reversal of 45342045342 is 24354024354.

45342045342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45342045297 and 45342045306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4574592 + ... + 4584492.

It is an arithmetic number, because the mean of its divisors is an integer number (1132466985).

Almost surely, 245342045342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45342045342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54358415280).

45342045342 is an abundant number, since it is smaller than the sum of its proper divisors (63374785218).

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

45342045342 is a wasteful number, since it uses less digits than its factorization.

45342045342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10247 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 45342045342 its reverse (24354024354), we get a palindrome (69696069696).

The spelling of 45342045342 in words is "forty-five billion, three hundred forty-two million, forty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 198 202 229 303 458 606 687 909 1111 1374 1818 2061 2222 2519 3333 4122 5038 6666 7557 9901 9999 15114 19802 19998 22671 23129 29703 45342 46258 59406 69387 89109 108911 138774 178218 208161 217822 254419 326733 416322 508838 653466 763257 980199 1000001 1526514 1960398 2000002 2267329 2289771 3000003 4534658 4579542 6000006 6801987 9000009 11000011 13603974 18000018 20405961 22000022 24940619 33000033 40811922 49881238 66000066 74821857 99000099 149643714 198000198 224465571 229000229 448931142 458000458 687000687 1374001374 2061002061 2519002519 4122004122 5038005038 7557007557 15114015114 22671022671 45342045342