Search a number
-
+
2663145816 = 233417138119
BaseRepresentation
bin1001111010111100…
…0110000101011000
320212121011211021020
42132233012011120
520423231131231
61120132242440
7122665236342
oct23657060530
96777154236
102663145816
111147304961
12623a70420
13335981a36
141b399c292
15108c05396
hex9ebc6158

2663145816 has 64 divisors (see below), whose sum is σ = 6916492800. Its totient is φ = 853843200.

The previous prime is 2663145809. The next prime is 2663145839. The reversal of 2663145816 is 6185413662.

2663145816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50805 + ... + 88923.

It is an arithmetic number, because the mean of its divisors is an integer number (108070200).

Almost surely, 22663145816 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 2663145816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458246400).

2663145816 is an abundant number, since it is smaller than the sum of its proper divisors (4253346984).

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

2663145816 is a wasteful number, since it uses less digits than its factorization.

2663145816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38240 (or 38236 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 2663145816 is about 51605.6761994260. The cubic root of 2663145816 is about 1386.1119745286. Note that the first 3 decimals are identical.

The spelling of 2663145816 in words is "two billion, six hundred sixty-three million, one hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 41 71 82 123 142 164 213 246 284 328 426 492 568 852 984 1704 2911 5822 8733 11644 17466 23288 34932 38119 69864 76238 114357 152476 228714 304952 457428 914856 1562879 2706449 3125758 4688637 5412898 6251516 8119347 9377274 10825796 12503032 16238694 18754548 21651592 32477388 37509096 64954776 110964409 221928818 332893227 443857636 665786454 887715272 1331572908 2663145816