Search a number
-
+
2642195900790 = 2325208791406089
BaseRepresentation
bin100110011100101111001…
…001011110100101110110
3100100120222011201202112200
4212130233021132211312
5321242204122311130
65341450311525330
7361615035411015
oct46345711364566
910316864652480
102642195900790
11929604782166
123680aa089846
1316220919b9c4
1491c50bd2a7c
1548ae24de760
hex2672f25e976

2642195900790 has 48 divisors (see below), whose sum is σ = 6870043252800. Its totient is φ = 704551326336.

The previous prime is 2642195900713. The next prime is 2642195900803. The reversal of 2642195900790 is 970095912462.

2642195900790 is a `hidden beast` number, since 2 + 6 + 42 + 1 + 9 + 590 + 0 + 7 + 9 + 0 = 666.

It is a super-3 number, since 3×26421959007903 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176066 + ... + 2582154.

It is an arithmetic number, because the mean of its divisors is an integer number (143125901100).

Almost surely, 22642195900790 is an apocalyptic number.

2642195900790 is an abundant number, since it is smaller than the sum of its proper divisors (4227847352010).

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

2642195900790 is a wasteful number, since it uses less digits than its factorization.

2642195900790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426981 (or 1426978 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2642195900790 in words is "two trillion, six hundred forty-two billion, one hundred ninety-five million, nine hundred thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 20879 41758 62637 104395 125274 187911 208790 313185 375822 626370 939555 1406089 1879110 2812178 4218267 7030445 8436534 12654801 14060890 21091335 25309602 42182670 63274005 126548010 29357732231 58715464462 88073196693 146788661155 176146393386 264219590079 293577322310 440365983465 528439180158 880731966930 1321097950395 2642195900790