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260990200384 = 2619233612
BaseRepresentation
bin1111001100010000111…
…0100110101001000000
3220221122212002212210221
43303010032212221000
513234001442403014
6315521445432424
724566403046204
oct3630416465100
9827585085727
10260990200384
11a075a189491
12426b910b714
131b7c3c64c44
14c8bc290b04
156bc7abeb24
hex3cc43a6a40

260990200384 has 63 divisors (see below), whose sum is σ = 546757761321. Its totient is φ = 123590154240.

The previous prime is 260990200379. The next prime is 260990200397. The reversal of 260990200384 is 483002099062.

The square root of 260990200384 is 510872.

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

It can be written as a sum of positive squares in only one way, i.e., 195781470784 + 65208729600 = 442472^2 + 255360^2 .

It is a super-3 number, since 3×2609902003843 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 260990200384.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77650864 + ... + 77654224.

Almost surely, 2260990200384 is an apocalyptic number.

260990200384 is the 510872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260990200384

260990200384 is an abundant number, since it is smaller than the sum of its proper divisors (285767560937).

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

260990200384 is an frugal number, since it uses more digits than its factorization.

260990200384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 260990200384 in words is "two hundred sixty billion, nine hundred ninety million, two hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 2888 3361 5776 6722 11552 13444 23104 26888 53776 63859 107552 127718 215104 255436 510872 1021744 1213321 2043488 2426642 4086976 4853284 9706568 11296321 19413136 22592642 38826272 45185284 77652544 90370568 180741136 214630099 361482272 429260198 722964544 858520396 1717040792 3434081584 4077971881 6868163168 8155943762 13736326336 16311887524 32623775048 65247550096 130495100192 260990200384