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21255334344 = 233261279337
BaseRepresentation
bin10011110010111010…
…101010100111001000
32000212022122212020100
4103302322222213020
5322012331144334
613433051325400
71351504234536
oct236272524710
960768585210
1021255334344
11901809a322
124152450860
1320097a451a
141058cdb156
15846086c99
hex4f2eaa9c8

21255334344 has 72 divisors (see below), whose sum is σ = 58526452530. Its totient is φ = 6968874240.

The previous prime is 21255334339. The next prime is 21255334369. The reversal of 21255334344 is 44343355212.

21255334344 is a `hidden beast` number, since 21 + 2 + 553 + 3 + 43 + 44 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2434238244 + 18821096100 = 49338^2 + 137190^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 21255334299 and 21255334308.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 228244 + ... + 307580.

Almost surely, 221255334344 is an apocalyptic number.

21255334344 is a gapful number since it is divisible by the number (24) 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 21255334344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29263226265).

21255334344 is an abundant number, since it is smaller than the sum of its proper divisors (37271118186).

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

21255334344 is a wasteful number, since it uses less digits than its factorization.

21255334344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79471 (or 79403 counting only the distinct ones).

The product of its digits is 172800, while the sum is 36.

Adding to 21255334344 its reverse (44343355212), we get a palindrome (65598689556).

The spelling of 21255334344 in words is "twenty-one billion, two hundred fifty-five million, three hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 3721 4392 7442 11163 14884 22326 29768 33489 44652 66978 79337 89304 133956 158674 238011 267912 317348 476022 634696 714033 952044 1428066 1904088 2856132 4839557 5712264 9679114 14518671 19358228 29037342 38716456 43556013 58074684 87112026 116149368 174224052 295212977 348448104 590425954 885638931 1180851908 1771277862 2361703816 2656916793 3542555724 5313833586 7085111448 10627667172 21255334344