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45016005100 = 225211217218843
BaseRepresentation
bin101001111011001010…
…011011100111101100
311022012020112222221011
4221323022123213230
51214143044130400
632402521115004
73152352505243
oct517312334754
9138166488834
1045016005100
11181003a7a00
128883928a64
134325326111
14227083795a
1512870508ba
hexa7b29b9ec

45016005100 has 108 divisors (see below), whose sum is σ = 113689020312. Its totient is φ = 15406476800.

The previous prime is 45016005059. The next prime is 45016005103. The reversal of 45016005100 is 150061054.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45016005103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96279 + ... + 315121.

It is an arithmetic number, because the mean of its divisors is an integer number (1052676114).

Almost surely, 245016005100 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 45016005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56844510156).

45016005100 is an abundant number, since it is smaller than the sum of its proper divisors (68673015212).

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

45016005100 is a wasteful number, since it uses less digits than its factorization.

45016005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218896 (or 218878 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 45016005100 its reverse (150061054), we get a palindrome (45166066154).

The spelling of 45016005100 in words is "forty-five billion, sixteen million, five thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 121 170 187 220 242 275 340 374 425 484 550 605 748 850 935 1100 1210 1700 1870 2057 2420 3025 3740 4114 4675 6050 8228 9350 10285 12100 18700 20570 41140 51425 102850 205700 218843 437686 875372 1094215 2188430 2407273 3720331 4376860 4814546 5471075 7440662 9629092 10942150 12036365 14881324 18601655 21884300 24072730 26480003 37203310 40923641 48145460 52960006 60181825 74406620 81847282 93008275 105920012 120363650 132400015 163694564 186016550 204618205 240727300 264800030 372033100 409236410 450160051 529600060 662000075 818472820 900320102 1023091025 1324000150 1800640204 2046182050 2250800255 2648000300 4092364100 4501600510 9003201020 11254001275 22508002550 45016005100