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21336313842 = 234598212719
BaseRepresentation
bin10011110111101111…
…100100111111110010
32001001222001001020000
4103313233210333302
5322144044020332
613445103130430
71353506450424
oct236757447762
961058031200
1021336313842
11905987a428
1241755a3a16
1320204b869c
14106597a814
1584d230b7c
hex4f7be4ff2

21336313842 has 80 divisors (see below), whose sum is σ = 48696595200. Its totient is φ = 6980476320.

The previous prime is 21336313841. The next prime is 21336313861. The reversal of 21336313842 is 24831363312.

21336313842 is a `hidden beast` number, since 2 + 1 + 336 + 313 + 8 + 4 + 2 = 666.

It is a super-3 number, since 3×213363138423 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21336313797 and 21336313806.

It is not an unprimeable number, because it can be changed into a prime (21336313841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7845759 + ... + 7848477.

It is an arithmetic number, because the mean of its divisors is an integer number (608707440).

Almost surely, 221336313842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21336313842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24348297600).

21336313842 is an abundant number, since it is smaller than the sum of its proper divisors (27360281358).

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

21336313842 is a wasteful number, since it uses less digits than its factorization.

21336313842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3604 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 21336313842 in words is "twenty-one billion, three hundred thirty-six million, three hundred thirteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 821 1062 1593 1642 2463 2719 3186 4779 4926 5438 7389 8157 9558 14778 16314 22167 24471 44334 48439 48942 66501 73413 96878 133002 145317 146826 160421 220239 290634 320842 435951 440478 481263 871902 962526 1307853 1443789 2232299 2615706 2887578 3923559 4331367 4464598 6696897 7847118 8662734 12994101 13393794 20090691 25988202 40181382 60272073 120544146 131705641 180816219 263411282 361632438 395116923 790233846 1185350769 2370701538 3556052307 7112104614 10668156921 21336313842