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1813200896 = 214138513
BaseRepresentation
bin110110000010011…
…0100000000000000
311200100212011000202
41230010310000000
512203134412041
6455531104332
762634644663
oct15404640000
94610764022
101813200896
11850560741
124272a20a8
1322b862850
14132b516da
15a92b4a9b
hex6c134000

1813200896 has 60 divisors (see below), whose sum is σ = 3905695332. Its totient is φ = 836763648.

The previous prime is 1813200889. The next prime is 1813200953. The reversal of 1813200896 is 6980023181.

It can be written as a sum of positive squares in 2 ways, for example, as 1124663296 + 688537600 = 33536^2 + 26240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208736 + ... + 217248.

Almost surely, 21813200896 is an apocalyptic number.

1813200896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952847666).

1813200896 is an abundant number, since it is smaller than the sum of its proper divisors (2092494436).

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

1813200896 is an frugal number, since it uses more digits than its factorization.

1813200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8554 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 1813200896 is about 42581.6967252363. The cubic root of 1813200896 is about 1219.4068818105.

The spelling of 1813200896 in words is "one billion, eight hundred thirteen million, two hundred thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 8192 8513 13312 16384 17026 26624 34052 53248 68104 106496 110669 136208 212992 221338 272416 442676 544832 885352 1089664 1770704 2179328 3541408 4358656 7082816 8717312 14165632 17434624 28331264 34869248 56662528 69738496 113325056 139476992 226650112 453300224 906600448 1813200896