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21872635236 = 22321574
BaseRepresentation
bin10100010111101101…
…011110110101100100
32002110100012222212100
4110113231132311210
5324243343311421
614014222252100
71403011221564
oct242755366544
962410188770
1021872635236
119304594651
1242a5127030
1320a7649b1a
1410b6ca8da4
15880370c26
hex517b5ed64

21872635236 has 45 divisors (see below), whose sum is σ = 55643578991. Its totient is φ = 7244439696.

The previous prime is 21872635231. The next prime is 21872635259. The reversal of 21872635236 is 63253627812.

The square root of 21872635236 is 147894.

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

21872635236 is a `hidden beast` number, since 2 + 1 + 8 + 7 + 2 + 635 + 2 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3744705636 + 18127929600 = 61194^2 + 134640^2 .

It is a Duffinian number.

Its product of digits (725760) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 21872635191 and 21872635200.

It is not an unprimeable number, because it can be changed into a prime (21872635231) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 139316070 + ... + 139316226.

Almost surely, 221872635236 is an apocalyptic number.

21872635236 is the 147894-th square number.

It is an amenable number.

21872635236 is an abundant number, since it is smaller than the sum of its proper divisors (33770943755).

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

21872635236 is an frugal number, since it uses more digits than its factorization.

21872635236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 162 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 21872635236 in words is "twenty-one billion, eight hundred seventy-two million, six hundred thirty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 24649 49298 73947 98596 147894 221841 295788 443682 887364 3869893 7739786 11609679 15479572 23219358 34829037 46438716 69658074 139316148 607573201 1215146402 1822719603 2430292804 3645439206 5468158809 7290878412 10936317618 21872635236