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21343633290 = 23257178319001
BaseRepresentation
bin10011111000001011…
…011111111110001010
32001002110210220121200
4103320023133332022
5322202432231130
613445524045030
71353625614060
oct237013377612
961073726550
1021343633290
119062a19661
124177b33776
132021b7c115
141066924030
1584dbc9760
hex4f82dff8a

21343633290 has 96 divisors (see below), whose sum is σ = 63459991296. Its totient is φ = 4875552000.

The previous prime is 21343633277. The next prime is 21343633303. The reversal of 21343633290 is 9233634312.

21343633290 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 363 + 3 + 290 = 666.

It is an interprime number because it is at equal distance from previous prime (21343633277) and next prime (21343633303).

It is a Curzon 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, 1113790 + ... + 1132790.

It is an arithmetic number, because the mean of its divisors is an integer number (661041576).

Almost surely, 221343633290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343633290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31729995648).

21343633290 is an abundant number, since it is smaller than the sum of its proper divisors (42116358006).

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

21343633290 is a wasteful number, since it uses less digits than its factorization.

21343633290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20804 (or 20801 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 21343633290 in words is "twenty-one billion, three hundred forty-three million, six hundred thirty-three thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1783 3566 5349 8915 10698 12481 16047 17830 19001 24962 26745 32094 37443 38002 53490 57003 62405 74886 80235 95005 112329 114006 124810 133007 160470 171009 187215 190010 224658 266014 285015 342018 374430 399021 561645 570030 665035 798042 855045 1123290 1197063 1330070 1710090 1995105 2394126 3990210 5985315 11970630 33878783 67757566 101636349 169393915 203272698 237151481 304909047 338787830 474302962 508181745 609818094 711454443 1016363490 1185757405 1422908886 1524545235 2134363329 2371514810 3049090470 3557272215 4268726658 7114544430 10671816645 21343633290