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45032113420 = 22573120894967
BaseRepresentation
bin101001111100000111…
…111000010100001100
311022020100212101101121
4221330013320110030
51214211210112140
632404254250324
73152636435260
oct517407702414
9138210771347
1045032113420
11181094aa368
1288891b69a4
134328776078
142272a2c0a0
15128868364a
hexa7c1f850c

45032113420 has 96 divisors (see below), whose sum is σ = 111639306240. Its totient is φ = 14931371520.

The previous prime is 45032113417. The next prime is 45032113429. The reversal of 45032113420 is 2431123054.

It is not an unprimeable number, because it can be changed into a prime (45032113429) 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 31 ways as a sum of consecutive naturals, for example, 9063777 + ... + 9068743.

It is an arithmetic number, because the mean of its divisors is an integer number (1162909440).

Almost surely, 245032113420 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 45032113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55819653120).

45032113420 is an abundant number, since it is smaller than the sum of its proper divisors (66607192820).

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

45032113420 is a wasteful number, since it uses less digits than its factorization.

45032113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 45032113420 its reverse (2431123054), we get a palindrome (47463236474).

The spelling of 45032113420 in words is "forty-five billion, thirty-two million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2089 2170 4178 4340 4967 8356 9934 10445 14623 19868 20890 24835 29246 34769 41780 49670 58492 64759 69538 73115 99340 129518 139076 146230 153977 173845 259036 292460 307954 323795 347690 453313 615908 647590 695380 769885 906626 1077839 1295180 1539770 1813252 2155678 2266565 3079540 4311356 4533130 5389195 9066260 10376063 10778390 20752126 21556780 41504252 51880315 72632441 103760630 145264882 207521260 290529764 321657953 363162205 643315906 726324410 1286631812 1452648820 1608289765 2251605671 3216579530 4503211342 6433159060 9006422684 11258028355 22516056710 45032113420