Search a number
-
+
2045645994 = 237593072689
BaseRepresentation
bin111100111101110…
…0001010010101010
312021120020120202110
41321323201102222
513142141132434
6534553143150
7101456463330
oct17173412252
95246216673
102045645994
1195a794127
124910baab6
13267a69a22
1415597bb50
15be8cc4e9
hex79ee14aa

2045645994 has 64 divisors (see below), whose sum is σ = 4772275200. Its totient is φ = 572479488.

The previous prime is 2045645983. The next prime is 2045646007. The reversal of 2045645994 is 4995465402.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 759402 + ... + 762090.

It is an arithmetic number, because the mean of its divisors is an integer number (74566800).

Almost surely, 22045645994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045645994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386137600).

2045645994 is an abundant number, since it is smaller than the sum of its proper divisors (2726629206).

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

2045645994 is a wasteful number, since it uses less digits than its factorization.

2045645994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 2045645994 is about 45228.8181804477. The cubic root of 2045645994 is about 1269.4340988388.

The spelling of 2045645994 in words is "two billion, forty-five million, six hundred forty-five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 307 354 413 614 826 921 1239 1842 2149 2478 2689 4298 5378 6447 8067 12894 16134 18113 18823 36226 37646 54339 56469 108678 112938 126791 158651 253582 317302 380373 475953 760746 825523 951906 1110557 1651046 2221114 2476569 3331671 4953138 5778661 6663342 11557322 17335983 34671966 48705857 97411714 146117571 292235142 340940999 681881998 1022822997 2045645994