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2390818816 = 2161912
BaseRepresentation
bin1000111010000001…
…0000000000000000
320011121202011212001
42032200100000000
514344022200231
61033123313344
7113150424151
oct21640200000
96147664761
102390818816
111017611621
1256881b854
132c14229b9
1418974d928
15ded60b61
hex8e810000

2390818816 has 51 divisors (see below), whose sum is σ = 4806766783. Its totient is φ = 1189150720.

The previous prime is 2390818813. The next prime is 2390818847. The reversal of 2390818816 is 6188180932.

The square root of 2390818816 is 48896.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×23908188162 = 11432029221879283712, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2390818813) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 12517281 + ... + 12517471.

Almost surely, 22390818816 is an apocalyptic number.

2390818816 is the 48896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2390818816

2390818816 is an abundant number, since it is smaller than the sum of its proper divisors (2415947967).

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

2390818816 is an frugal number, since it uses more digits than its factorization.

2390818816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The cubic root of 2390818816 is about 1337.1564442786.

It can be divided in two parts, 23908 and 18816, that added together give a palindrome (42724).

The spelling of 2390818816 in words is "two billion, three hundred ninety million, eight hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 512 764 1024 1528 2048 3056 4096 6112 8192 12224 16384 24448 32768 36481 48896 65536 72962 97792 145924 195584 291848 391168 583696 782336 1167392 1564672 2334784 3129344 4669568 6258688 9339136 12517376 18678272 37356544 74713088 149426176 298852352 597704704 1195409408 2390818816