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21339064444302 = 232115910211789091
BaseRepresentation
bin1001101101000011000110…
…10110110010010110001110
32210112222212002110100020100
410312201203112302112032
510244104400444204202
6113215010400231530
74331460624010413
oct466414326622616
983488762410210
1021339064444302
116887934630440
1224877a160b5a6
13bba35a698377
1453ab5da4010a
1527012859141c
hex1368635b258e

21339064444302 has 96 divisors (see below), whose sum is σ = 51342932833920. Its totient is φ = 6350553864000.

The previous prime is 21339064444273. The next prime is 21339064444319. The reversal of 21339064444302 is 20344446093312.

21339064444302 is a `hidden beast` number, since 2 + 1 + 33 + 90 + 64 + 44 + 430 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11032777 + ... + 12821867.

It is an arithmetic number, because the mean of its divisors is an integer number (534822217020).

Almost surely, 221339064444302 is an apocalyptic number.

21339064444302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21339064444302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25671466416960).

21339064444302 is an abundant number, since it is smaller than the sum of its proper divisors (30003868389618).

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

21339064444302 is a wasteful number, since it uses less digits than its factorization.

21339064444302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790190 (or 1790187 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 21339064444302 in words is "twenty-one trillion, three hundred thirty-nine billion, sixty-four million, four hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1021 1062 1298 1947 2042 3063 3894 5841 6126 9189 11231 11682 18378 22462 33693 60239 67386 101079 120478 180717 202158 361434 542151 662629 1084302 1325258 1789091 1987887 3578182 3975774 5367273 5963661 10734546 11927322 16101819 19680001 32203638 39360002 59040003 105556369 118080006 177120009 211112738 316669107 354240018 633338214 950007321 1161120059 1826661911 1900014642 2322240118 3483360177 3653323822 5479985733 6966720354 10450080531 10959971466 16439957199 20093281021 20900161062 32879914398 40186562042 60279843063 107773052749 120559686126 180839529189 215546105498 323319158247 361679058378 646638316494 969957474741 1185503580239 1939914949482 2371007160478 3556510740717 7113021481434 10669532222151 21339064444302