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21271332576 = 25313103165479
BaseRepresentation
bin10011110011110111…
…101100011011100000
32000220102202122200110
4103303313230123200
5322030430120301
613434422251320
71352060225604
oct236367543340
960812678613
1021271332576
119026126aaa
124157886b40
13200cbb6330
14105b0a3504
158476970d6
hex4f3dec6e0

21271332576 has 96 divisors (see below), whose sum is σ = 60716597760. Its totient is φ = 6481442304.

The previous prime is 21271332559. The next prime is 21271332601. The reversal of 21271332576 is 67523317212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45805 + ... + 211283.

It is an arithmetic number, because the mean of its divisors is an integer number (632464560).

Almost surely, 221271332576 is an apocalyptic number.

21271332576 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21271332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30358298880).

21271332576 is an abundant number, since it is smaller than the sum of its proper divisors (39445265184).

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

21271332576 is a wasteful number, since it uses less digits than its factorization.

21271332576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165608 (or 165600 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

Adding to 21271332576 its reverse (67523317212), we get a palindrome (88794649788).

The spelling of 21271332576 in words is "twenty-one billion, two hundred seventy-one million, three hundred thirty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 9888 10712 16068 21424 32136 42848 64272 128544 165479 330958 496437 661916 992874 1323832 1985748 2151227 2647664 3971496 4302454 5295328 6453681 7942992 8604908 12907362 15885984 17044337 17209816 25814724 34088674 34419632 51133011 51629448 68177348 68839264 102266022 103258896 136354696 204532044 206517792 221576381 272709392 409064088 443152762 545418784 664729143 818128176 886305524 1329458286 1636256352 1772611048 2658916572 3545222096 5317833144 7090444192 10635666288 21271332576