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2045043968 = 28111742719
BaseRepresentation
bin111100111100100…
…1110010100000000
312021112002222221012
41321321032110000
513142012401333
6534532220052
7101451405212
oct17171162400
95245088835
102045043968
1195a412890
12490a6a628
132678b89b6
141558625b2
15be80de48
hex79e4e500

2045043968 has 72 divisors (see below), whose sum is σ = 4715262720. Its totient is φ = 874864640.

The previous prime is 2045043943. The next prime is 2045043977. The reversal of 2045043968 is 8693405402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26513 + ... + 69231.

It is an arithmetic number, because the mean of its divisors is an integer number (65489760).

Almost surely, 22045043968 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 2045043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357631360).

2045043968 is an abundant number, since it is smaller than the sum of its proper divisors (2670218752).

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

2045043968 is a wasteful number, since it uses less digits than its factorization.

2045043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42763 (or 42749 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 2045043968 is about 45222.1623543147. The cubic root of 2045043968 is about 1269.3095567108.

The spelling of 2045043968 in words is "two billion, forty-five million, forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 544 704 748 1088 1408 1496 2176 2816 2992 4352 5984 11968 23936 42719 47872 85438 170876 341752 469909 683504 726223 939818 1367008 1452446 1879636 2734016 2904892 3759272 5468032 5809784 7518544 7988453 10936064 11619568 15037088 15976906 23239136 30074176 31953812 46478272 60148352 63907624 92956544 120296704 127815248 185913088 255630496 511260992 1022521984 2045043968