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2045884064 = 25722235851
BaseRepresentation
bin111100111110001…
…1011011010100000
312021120200200022212
41321330123122200
513142221242224
6535002221252
7101461504400
oct17174333240
95246620285
102045884064
1195a936a84
124911b4828
13267b211b3
14155a00800
15be927d0e
hex79f1b6a0

2045884064 has 72 divisors (see below), whose sum is σ = 4707255168. Its totient is φ = 872726400.

The previous prime is 2045884039. The next prime is 2045884121. The reversal of 2045884064 is 4604885402.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 346739 + ... + 352589.

It is an arithmetic number, because the mean of its divisors is an integer number (65378544).

Almost surely, 22045884064 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 2045884064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353627584).

2045884064 is an abundant number, since it is smaller than the sum of its proper divisors (2661371104).

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

2045884064 is a wasteful number, since it uses less digits than its factorization.

2045884064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6083 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 41.

The square root of 2045884064 is about 45231.4499435957. The cubic root of 2045884064 is about 1269.4833420369.

The spelling of 2045884064 in words is "two billion, forty-five million, eight hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 223 224 392 446 784 892 1561 1568 1784 3122 3568 5851 6244 7136 10927 11702 12488 21854 23404 24976 40957 43708 46808 49952 81914 87416 93616 163828 174832 187232 286699 327656 349664 573398 655312 1146796 1304773 1310624 2293592 2609546 4587184 5219092 9133411 9174368 10438184 18266822 20876368 36533644 41752736 63933877 73067288 127867754 146134576 255735508 292269152 511471016 1022942032 2045884064