Search a number
-
+
2133009978 = 231182739079
BaseRepresentation
bin111111100100011…
…0010011000111010
312111122122010121120
41333020302120322
513332022304403
6551353450110
7103600166661
oct17710623072
95448563546
102133009978
119a5034a70
124b6410936
1327cba7ba8
141633dddd8
15c73d7e53
hex7f23263a

2133009978 has 32 divisors (see below), whose sum is σ = 4659586560. Its totient is φ = 645568560.

The previous prime is 2133009961. The next prime is 2133010021. The reversal of 2133009978 is 8799003312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35043 + ... + 74121.

It is an arithmetic number, because the mean of its divisors is an integer number (145612080).

Almost surely, 22133009978 is an apocalyptic number.

2133009978 is an abundant number, since it is smaller than the sum of its proper divisors (2526576582).

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

2133009978 is a wasteful number, since it uses less digits than its factorization.

2133009978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39922.

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 2133009978 is about 46184.5209783538. The cubic root of 2133009978 is about 1287.2541353249.

The spelling of 2133009978 in words is "two billion, one hundred thirty-three million, nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 11 22 33 66 827 1654 2481 4962 9097 18194 27291 39079 54582 78158 117237 234474 429869 859738 1289607 2579214 32318333 64636666 96954999 193909998 355501663 711003326 1066504989 2133009978