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29994444932436 = 22331923124816937
BaseRepresentation
bin1101101000111101000000…
…01111000100010101010100
310221012102220102212002101000
412310132200033010111110
512412412110400314221
6143443131402503300
76214012210163025
oct664364017042524
9127172812762330
1029994444932436
119614633235626
12344515ab04b30
1313976055b771a
14759a4b6bac4c
1537035727ce26
hex1b47a03c4554

29994444932436 has 144 divisors (see below), whose sum is σ = 84719070266880. Its totient is φ = 9166383480960.

The previous prime is 29994444932429. The next prime is 29994444932483. The reversal of 29994444932436 is 63423944449992.

29994444932436 is a `hidden beast` number, since 2 + 9 + 9 + 94 + 4 + 4 + 493 + 2 + 43 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 11199841 + ... + 13617096.

Almost surely, 229994444932436 is an apocalyptic number.

It is an amenable number.

29994444932436 is an abundant number, since it is smaller than the sum of its proper divisors (54724625334444).

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

29994444932436 is a wasteful number, since it uses less digits than its factorization.

29994444932436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24817019 (or 24816992 counting only the distinct ones).

The product of its digits is 1451188224, while the sum is 72.

The spelling of 29994444932436 in words is "twenty-nine trillion, nine hundred ninety-four billion, four hundred forty-four million, nine hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 361 372 513 558 589 684 722 837 1026 1083 1116 1178 1444 1674 1767 2052 2166 2356 3249 3348 3534 4332 5301 6498 7068 9747 10602 11191 12996 15903 19494 21204 22382 31806 33573 38988 44764 63612 67146 100719 134292 201438 302157 402876 604314 1208628 24816937 49633874 74450811 99267748 148901622 223352433 297803244 446704866 471521803 670057299 769325047 893409732 943043606 1340114598 1414565409 1538650094 1886087212 2307975141 2680229196 2829130818 3077300188 4243696227 4615950282 5658261636 6923925423 8487392454 8958914257 9231900564 12731088681 13847850846 14617175893 16974784908 17917828514 20771776269 25462177362 26876742771 27695701692 29234351786 35835657028 41543552538 43851527679 50924354724 53753485542 58468703572 80630228313 83087105076 87703055358 107506971084 131554583037 161260456626 175406110716 241890684939 263109166074 277726341967 322520913252 394663749111 483781369878 526218332148 555452683934 789327498222 833179025901 967562739756 1110905367868 1578654996444 1666358051802 2499537077703 3332716103604 4999074155406 7498611233109 9998148310812 14997222466218 29994444932436