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21246164316 = 22321345397787
BaseRepresentation
bin10011110010010111…
…101011110101011100
32000211200101222022200
4103302113223311130
5322003004224231
613432123011500
71351333263006
oct236227536534
960750358280
1021246164316
1190129a6793
12414b369b90
132007913680
1410579d1376
15845374be6
hex4f25ebd5c

21246164316 has 36 divisors (see below), whose sum is σ = 57836781912. Its totient is φ = 6537281184.

The previous prime is 21246164311. The next prime is 21246164339. The reversal of 21246164316 is 61346164212.

21246164316 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 6 + 1 + 643 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21246164311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22698426 + ... + 22699361.

Almost surely, 221246164316 is an apocalyptic number.

21246164316 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21246164316 is an abundant number, since it is smaller than the sum of its proper divisors (36590617596).

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

21246164316 is a wasteful number, since it uses less digits than its factorization.

21246164316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45397810 (or 45397805 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 21246164316 in words is "twenty-one billion, two hundred forty-six million, one hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 45397787 90795574 136193361 181591148 272386722 408580083 544773444 590171231 817160166 1180342462 1634320332 1770513693 2360684924 3541027386 5311541079 7082054772 10623082158 21246164316