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21042171432 = 23323743183691
BaseRepresentation
bin10011100110001101…
…100000111000101000
32000022110120001200200
4103212031200320220
5321043243441212
613355554432200
71343305335402
oct234615407050
960273501620
1021042171432
118a18836927
1240b2b92660
131ca458bb19
14103888db72
158324cc6dc
hex4e6360e28

21042171432 has 96 divisors (see below), whose sum is σ = 59890939680. Its totient is φ = 6665742720.

The previous prime is 21042171421. The next prime is 21042171457. The reversal of 21042171432 is 23417124012.

21042171432 is a `hidden beast` number, since 2 + 10 + 4 + 217 + 1 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21042171396 and 21042171405.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22707 + ... + 206397.

It is an arithmetic number, because the mean of its divisors is an integer number (623863955).

Almost surely, 221042171432 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 21042171432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29945469840).

21042171432 is an abundant number, since it is smaller than the sum of its proper divisors (38848768248).

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

21042171432 is a wasteful number, since it uses less digits than its factorization.

21042171432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183783 (or 183776 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 21042171432 its reverse (23417124012), we get a palindrome (44459295444).

The spelling of 21042171432 in words is "twenty-one billion, forty-two million, one hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 43 72 74 86 111 129 148 172 222 258 296 333 344 387 444 516 666 774 888 1032 1332 1548 1591 2664 3096 3182 4773 6364 9546 12728 14319 19092 28638 38184 57276 114552 183691 367382 551073 734764 1102146 1469528 1653219 2204292 3306438 4408584 6612876 6796567 7898713 13225752 13593134 15797426 20389701 23696139 27186268 31594852 40779402 47392278 54372536 61169103 63189704 71088417 81558804 94784556 122338206 142176834 163117608 189569112 244676412 284353668 292252381 489352824 568707336 584504762 876757143 1169009524 1753514286 2338019048 2630271429 3507028572 5260542858 7014057144 10521085716 21042171432