Search a number
-
+
45213404550 = 23521638812099
BaseRepresentation
bin101010000110111011…
…011100110110000110
311022200222222221001220
4222012323130312012
51220044112421200
632434252101210
73160300411656
oct520673346606
9138628887056
1045213404550
11181a1874046
128919a64806
1343571ac822
14228cb40366
1512995444a0
hexa86edcd86

45213404550 has 96 divisors (see below), whose sum is σ = 112999017600. Its totient is φ = 11963635200.

The previous prime is 45213404543. The next prime is 45213404591. The reversal of 45213404550 is 5540431254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21539401 + ... + 21541499.

It is an arithmetic number, because the mean of its divisors is an integer number (1177073100).

Almost surely, 245213404550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45213404550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56499508800).

45213404550 is an abundant number, since it is smaller than the sum of its proper divisors (67785613050).

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

45213404550 is a wasteful number, since it uses less digits than its factorization.

45213404550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 45213404550 in words is "forty-five billion, two hundred thirteen million, four hundred four thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 163 326 489 815 881 978 1630 1762 2099 2445 2643 4075 4198 4405 4890 5286 6297 8150 8810 10495 12225 12594 13215 20990 22025 24450 26430 31485 44050 52475 62970 66075 104950 132150 143603 157425 287206 314850 342137 430809 684274 718015 861618 1026411 1436030 1710685 1849219 2052822 2154045 3421370 3590075 3698438 4308090 5132055 5547657 7180150 8553425 9246095 10264110 10770225 11095314 17106850 18492190 21540450 25660275 27738285 46230475 51320550 55476570 92460950 138691425 277382850 301422697 602845394 904268091 1507113485 1808536182 3014226970 4521340455 7535567425 9042680910 15071134850 22606702275 45213404550