Search a number
-
+
42621162011856 = 24321717410605397
BaseRepresentation
bin10011011000011100000110…
…01110001011110011010000
312120220112200001200111121200
421230032003032023303100
521041301114433334411
6230351520322551200
711656164061403301
oct1154160316136320
9176815601614550
1042621162011856
111264259590814a
124944324b08500
131aa2209b1752c
14a74c379767a8
154dda1a817e56
hex26c38338bcd0

42621162011856 has 60 divisors (see below), whose sum is σ = 126296531557092. Its totient is φ = 13371344944128.

The previous prime is 42621162011851. The next prime is 42621162011867. The reversal of 42621162011856 is 65811026112624.

42621162011856 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 1 + 1 + 620 + 1 + 18 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17770777491600 + 24850384520256 = 4215540^2 + 4985016^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42621162011851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8705300251 + ... + 8705305146.

Almost surely, 242621162011856 is an apocalyptic number.

It is an amenable number.

42621162011856 is an abundant number, since it is smaller than the sum of its proper divisors (83675369545236).

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

42621162011856 is a wasteful number, since it uses less digits than its factorization.

42621162011856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17410605428 (or 17410605419 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 42621162011856 in words is "forty-two trillion, six hundred twenty-one billion, one hundred sixty-two million, eleven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 17410605397 34821210794 52231816191 69642421588 104463632382 139284843176 156695448573 208927264764 278569686352 295980291749 313390897146 417854529528 591960583498 626781794292 835709059056 887940875247 1183921166996 1253563588584 1775881750494 2367842333992 2507127177168 2663822625741 3551763500988 4735684667984 5327645251482 7103527001976 10655290502964 14207054003952 21310581005928 42621162011856