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2121642113544 = 2332187315732649
BaseRepresentation
bin11110110111111011101…
…110010111101000001000
321111211022212221110202200
4132313323232113220020
5234230110340113134
64302400253400200
7306166161260352
oct36677356275010
97454285843680
102121642113544
11748868731138
122a3231799060
131250baa0b055
147498bd300d2
153a2c7200499
hex1edfbb97a08

2121642113544 has 48 divisors (see below), whose sum is σ = 5749182289500. Its totient is φ = 706836409344.

The previous prime is 2121642113489. The next prime is 2121642113561. The reversal of 2121642113544 is 4453112461212.

2121642113544 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 642 + 1 + 1 + 3 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1761029853444 + 360612260100 = 1327038^2 + 600510^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2121642113499 and 2121642113508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7731469 + ... + 8001180.

Almost surely, 22121642113544 is an apocalyptic number.

2121642113544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121642113544 is an abundant number, since it is smaller than the sum of its proper divisors (3627540175956).

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

2121642113544 is a wasteful number, since it uses less digits than its factorization.

2121642113544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15734534 (or 15734527 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 2121642113544 its reverse (4453112461212), we get a palindrome (6574754574756).

The spelling of 2121642113544 in words is "two trillion, one hundred twenty-one billion, six hundred forty-two million, one hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1873 3746 5619 7492 11238 14984 16857 22476 33714 44952 67428 134856 15732649 31465298 47197947 62930596 94395894 125861192 141593841 188791788 283187682 377583576 566375364 1132750728 29467251577 58934503154 88401754731 117869006308 176803509462 235738012616 265205264193 353607018924 530410528386 707214037848 1060821056772 2121642113544