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21141879390 = 2335261729921
BaseRepresentation
bin10011101100001001…
…110111101001011110
32000120102011202022000
4103230021313221132
5321244310120030
613413515503130
71345626003222
oct235411675136
960512152260
1021141879390
118a6a0489a5
124120457aa6
131cbc12c708
141047c06782
1583b125860
hex4ec277a5e

21141879390 has 64 divisors (see below), whose sum is σ = 56401773120. Its totient is φ = 5635491840.

The previous prime is 21141879373. The next prime is 21141879397. The reversal of 21141879390 is 9397814112.

21141879390 is a `hidden beast` number, since 211 + 41 + 8 + 7 + 9 + 390 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141879397) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691630 + ... + 721550.

It is an arithmetic number, because the mean of its divisors is an integer number (881277705).

Almost surely, 221141879390 is an apocalyptic number.

21141879390 is an abundant number, since it is smaller than the sum of its proper divisors (35259893730).

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

21141879390 is a wasteful number, since it uses less digits than its factorization.

21141879390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32554 (or 32548 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 21141879390 in words is "twenty-one billion, one hundred forty-one million, eight hundred seventy-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 2617 5234 7851 13085 15702 23553 26170 29921 39255 47106 59842 70659 78510 89763 117765 141318 149605 179526 235530 269289 299210 353295 448815 538578 706590 807867 897630 1346445 1615734 2692890 4039335 8078670 78303257 156606514 234909771 391516285 469819542 704729313 783032570 1174548855 1409458626 2114187939 2349097710 3523646565 4228375878 7047293130 10570939695 21141879390