Search a number
-
+
20958579936 = 2532710396121
BaseRepresentation
bin10011100001001110…
…101000110011100000
32000002122021011201100
4103201032220303200
5320410344024221
613343411034400
71341241663410
oct234116506340
960078234640
1020958579936
118985632348
12408ab9ba00
131c90171ab8
14102b730640
15829eb9926
hex4e13a8ce0

20958579936 has 72 divisors (see below), whose sum is σ = 68115391344. Its totient is φ = 5988165120.

The previous prime is 20958579919. The next prime is 20958579949. The reversal of 20958579936 is 63997585902.

20958579936 is a `hidden beast` number, since 2 + 0 + 9 + 58 + 579 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×209585799363 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 5196045 + ... + 5200076.

It is an arithmetic number, because the mean of its divisors is an integer number (946047102).

Almost surely, 220958579936 is an apocalyptic number.

It is an amenable number.

20958579936 is an abundant number, since it is smaller than the sum of its proper divisors (47156811408).

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

20958579936 is a wasteful number, since it uses less digits than its factorization.

20958579936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10396144 (or 10396133 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 20958579936 in words is "twenty billion, nine hundred fifty-eight million, five hundred seventy-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10396121 20792242 31188363 41584484 62376726 72772847 83168968 93565089 124753452 145545694 166337936 187130178 218318541 249506904 291091388 332675872 374260356 436637082 499013808 582182776 654955623 748520712 873274164 998027616 1164365552 1309911246 1497041424 1746548328 2328731104 2619822492 2994082848 3493096656 5239644984 6986193312 10479289968 20958579936