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4465138290 = 2355910124977
BaseRepresentation
bin1000010100010010…
…01001101001110010
3102112011221112020020
410022021021221302
533121033411130
62015023224310
7215436022614
oct41211115162
912464845206
104465138290
1119914aa538
12a47448096
135620bb982
14305032db4
151b2003e10
hex10a249a72

4465138290 has 64 divisors (see below), whose sum is σ = 11006305920. Its totient is φ = 1158886400.

The previous prime is 4465138273. The next prime is 4465138297. The reversal of 4465138290 is 928315644.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4465138297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166282 + ... + 191258.

It is an arithmetic number, because the mean of its divisors is an integer number (171973530).

Almost surely, 24465138290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465138290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503152960).

4465138290 is an abundant number, since it is smaller than the sum of its proper divisors (6541167630).

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

4465138290 is a wasteful number, since it uses less digits than its factorization.

4465138290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25147.

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 4465138290 is about 66821.6902659608. The cubic root of 4465138290 is about 1646.6892032426.

The spelling of 4465138290 in words is "four billion, four hundred sixty-five million, one hundred thirty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 59 101 118 177 202 295 303 354 505 590 606 885 1010 1515 1770 3030 5959 11918 17877 24977 29795 35754 49954 59590 74931 89385 124885 149862 178770 249770 374655 749310 1473643 2522677 2947286 4420929 5045354 7368215 7568031 8841858 12613385 14736430 15136062 22104645 25226770 37840155 44209290 75680310 148837943 297675886 446513829 744189715 893027658 1488379430 2232569145 4465138290