Search a number
-
+
21095238564 = 223480692
BaseRepresentation
bin10011101001010111…
…111100101110100100
32000110011102011010000
4103221113330232210
5321200340113224
613405132101300
71344521366151
oct235127745644
960404364100
1021095238564
118a45791a64
124108904830
131cb257c2aa
141041945228
15836eb10c9
hex4e95fcba4

21095238564 has 45 divisors (see below), whose sum is σ = 55153955857. Its totient is φ = 7030874736.

The previous prime is 21095238559. The next prime is 21095238581. The reversal of 21095238564 is 46583259012.

The square root of 21095238564 is 145242.

It is a perfect power (a square), and thus also a powerful number.

21095238564 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 52 + 38 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 21048206400 = 6858^2 + 145080^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2610322 + ... + 2618390.

Almost surely, 221095238564 is an apocalyptic number.

21095238564 is the 145242-nd square number.

It is an amenable number.

21095238564 is an abundant number, since it is smaller than the sum of its proper divisors (34058717293).

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

21095238564 is an frugal number, since it uses more digits than its factorization.

21095238564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16154 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 21095238564 in words is "twenty-one billion, ninety-five million, two hundred thirty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 8069 16138 24207 32276 48414 72621 96828 145242 217863 290484 435726 653589 871452 1307178 2614356 65108761 130217522 195326283 260435044 390652566 585978849 781305132 1171957698 1757936547 2343915396 3515873094 5273809641 7031746188 10547619282 21095238564