Search a number
-
+
21055235004 = 223243127107099
BaseRepresentation
bin10011100110111111…
…010110001110111100
32000100101010202112200
4103212333112032330
5321110120010004
613401142431500
71343524354536
oct234677261674
960311122480
1021055235004
118a25149771
1240b7432590
131ca71b3c4b
14103a4d0856
1583370d239
hex4e6fd63bc

21055235004 has 72 divisors (see below), whose sum is σ = 54890035200. Its totient is φ = 6801151392.

The previous prime is 21055234933. The next prime is 21055235009. The reversal of 21055235004 is 40053255012.

It is a happy number.

21055235004 is a `hidden beast` number, since 2 + 105 + 52 + 3 + 500 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21055235009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143047 + ... + 250145.

It is an arithmetic number, because the mean of its divisors is an integer number (762361600).

Almost surely, 221055235004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21055235004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27445017600).

21055235004 is an abundant number, since it is smaller than the sum of its proper divisors (33834800196).

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

21055235004 is a wasteful number, since it uses less digits than its factorization.

21055235004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107279 (or 107274 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 21055235004 in words is "twenty-one billion, fifty-five million, two hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 127 129 172 254 258 381 387 508 516 762 774 1143 1524 1548 2286 4572 5461 10922 16383 21844 32766 49149 65532 98298 107099 196596 214198 321297 428396 642594 963891 1285188 1927782 3855564 4605257 9210514 13601573 13815771 18421028 27203146 27631542 40804719 41447313 54406292 55263084 81609438 82894626 122414157 163218876 165789252 244828314 489656628 584867639 1169735278 1754602917 2339470556 3509205834 5263808751 7018411668 10527617502 21055235004