Search a number
-
+
21435590394 = 23217379184831
BaseRepresentation
bin10011111101101010…
…010010011011111010
32001022212211211001100
4103331222102123322
5322400002343034
613503011032230
71356123340431
oct237552223372
961285754040
1021435590394
1190aa917369
1241a289b676
132037c37aca
141074c20118
15856ce1099
hex4fda926fa

21435590394 has 48 divisors (see below), whose sum is σ = 49305784320. Its totient is φ = 6707111040.

The previous prime is 21435590387. The next prime is 21435590399. The reversal of 21435590394 is 49309553412.

21435590394 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 559 + 0 + 3 + 94 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21435590399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23559 + ... + 208389.

It is an arithmetic number, because the mean of its divisors is an integer number (1027203840).

Almost surely, 221435590394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21435590394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24652892160).

21435590394 is an abundant number, since it is smaller than the sum of its proper divisors (27870193926).

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

21435590394 is a wasteful number, since it uses less digits than its factorization.

21435590394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185235 (or 185232 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 21435590394 in words is "twenty-one billion, four hundred thirty-five million, five hundred ninety thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 379 758 1137 2274 3411 6443 6822 12886 19329 38658 57987 115974 184831 369662 554493 1108986 1663479 3142127 3326958 6284254 9426381 18852762 28279143 56558286 70050949 140101898 210152847 420305694 630458541 1190866133 1260917082 2381732266 3572598399 7145196798 10717795197 21435590394