Search a number
-
+
20571572616 = 233710710910499
BaseRepresentation
bin10011001010001010…
…010100100110001000
31222002200001011110220
4103022022110212020
5314112310310431
613241144110040
71325532324240
oct231212244610
958080034426
1020571572616
1187a7130a91
123ba1465320
131c2ac2c29a
14dd218cb20
15806020b96
hex4ca294988

20571572616 has 128 divisors (see below), whose sum is σ = 59875200000. Its totient is φ = 5768692992.

The previous prime is 20571572591. The next prime is 20571572629. The reversal of 20571572616 is 61627517502.

It is a happy number.

It is a super-2 number, since 2×205715726162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1954135 + ... + 1964633.

It is an arithmetic number, because the mean of its divisors is an integer number (467775000).

Almost surely, 220571572616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20571572616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29937600000).

20571572616 is an abundant number, since it is smaller than the sum of its proper divisors (39303627384).

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

20571572616 is a wasteful number, since it uses less digits than its factorization.

20571572616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10731 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 20571572616 in words is "twenty billion, five hundred seventy-one million, five hundred seventy-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 109 168 214 218 321 327 428 436 642 654 749 763 856 872 1284 1308 1498 1526 2247 2289 2568 2616 2996 3052 4494 4578 5992 6104 8988 9156 10499 11663 17976 18312 20998 23326 31497 34989 41996 46652 62994 69978 73493 81641 83992 93304 125988 139956 146986 163282 220479 244923 251976 279912 293972 326564 440958 489846 587944 653128 881916 979692 1123393 1144391 1763832 1959384 2246786 2288782 3370179 3433173 4493572 4577564 6740358 6866346 7863751 8010737 8987144 9155128 13480716 13732692 15727502 16021474 23591253 24032211 26961432 27465384 31455004 32042948 47182506 48064422 62910008 64085896 94365012 96128844 122449837 188730024 192257688 244899674 367349511 489799348 734699022 857148859 979598696 1469398044 1714297718 2571446577 2938796088 3428595436 5142893154 6857190872 10285786308 20571572616