Search a number
-
+
21606364260 = 22325139233489
BaseRepresentation
bin10100000111110101…
…101111010001100100
32001202210012000202100
4110013311233101210
5323222212124020
613531551212100
71363266031425
oct240765572144
961683160670
1021606364260
119188258298
12422bb17030
13206442b430
14108d79564c
15866cc5a90
hex507d6f464

21606364260 has 72 divisors (see below), whose sum is σ = 70580797560. Its totient is φ = 5318489088.

The previous prime is 21606364259. The next prime is 21606364261. The reversal of 21606364260 is 6246360612.

21606364260 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 6 + 3 + 642 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21606364259) and next prime (21606364261).

It can be written as a sum of positive squares in 4 ways, for example, as 241864704 + 21364499556 = 15552^2 + 146166^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21606364261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4614405 + ... + 4619084.

It is an arithmetic number, because the mean of its divisors is an integer number (980288855).

Almost surely, 221606364260 is an apocalyptic number.

21606364260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21606364260 is an abundant number, since it is smaller than the sum of its proper divisors (48974433300).

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

21606364260 is a wasteful number, since it uses less digits than its factorization.

21606364260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233517 (or 9233512 counting only the distinct ones).

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

The spelling of 21606364260 in words is "twenty-one billion, six hundred six million, three hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 9233489 18466978 27700467 36933956 46167445 55400934 83101401 92334890 110801868 120035357 138502335 166202802 184669780 240070714 277004670 332405604 360106071 415507005 480141428 554009340 600176785 720212142 831014010 1080318213 1200353570 1440424284 1662028020 1800530355 2160636426 2400707140 3601060710 4321272852 5401591065 7202121420 10803182130 21606364260