Search a number
-
+
20592189568 = 273723318661
BaseRepresentation
bin10011001011011000…
…111110000010000000
31222011002211121121201
4103023120332002000
5314133100031233
613243202030544
71326202503046
oct231330760200
958132747551
1020592189568
118807832895
123ba8348454
131c3229a472
14dd4bd8396
15807c4477d
hex4cb63e080

20592189568 has 64 divisors (see below), whose sum is σ = 42315338520. Its totient is φ = 9974292480.

The previous prime is 20592189523. The next prime is 20592189581. The reversal of 20592189568 is 86598129502.

It can be written as a sum of positive squares in 4 ways, for example, as 14668116544 + 5924073024 = 121112^2 + 76968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1094158 + ... + 1112818.

Almost surely, 220592189568 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 20592189568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21157669260).

20592189568 is an abundant number, since it is smaller than the sum of its proper divisors (21723148952).

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

20592189568 is a wasteful number, since it uses less digits than its factorization.

20592189568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18945 (or 18933 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 55.

The spelling of 20592189568 in words is "twenty billion, five hundred ninety-two million, one hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 233 296 466 592 932 1184 1864 2368 3728 4736 7456 8621 14912 17242 18661 29824 34484 37322 68968 74644 137936 149288 275872 298576 551744 597152 690457 1103488 1194304 1380914 2388608 2761828 4348013 5523656 8696026 11047312 17392052 22094624 34784104 44189248 69568208 88378496 139136416 160876481 278272832 321752962 556545664 643505924 1287011848 2574023696 5148047392 10296094784 20592189568