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29949690781032 = 233114112653218681
BaseRepresentation
bin1101100111101001101001…
…01011100001110101101000
310221001011101110000122011220
412303310310223201311220
512411143431314443112
6143410410434022040
76210536154156351
oct663646453416550
9127034343018156
1029949690781032
1195a7657728240
12343854aa17920
1313933225c4529
14757803966d28
1536e0d820398c
hex1b3d34ae1d68

29949690781032 has 128 divisors (see below), whose sum is σ = 83680189326720. Its totient is φ = 8853565952000.

The previous prime is 29949690781019. The next prime is 29949690781039. The reversal of 29949690781032 is 23018709694992.

It is not an unprimeable number, because it can be changed into a prime (29949690781039) 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, 136846732 + ... + 137065412.

It is an arithmetic number, because the mean of its divisors is an integer number (653751479115).

Almost surely, 229949690781032 is an apocalyptic number.

29949690781032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29949690781032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41840094663360).

29949690781032 is an abundant number, since it is smaller than the sum of its proper divisors (53730498545688).

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

29949690781032 is a wasteful number, since it uses less digits than its factorization.

29949690781032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231395 (or 231391 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 29949690781032 in words is "twenty-nine trillion, nine hundred forty-nine billion, six hundred ninety million, seven hundred eighty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 902 984 1353 1804 2706 3608 5412 10824 12653 25306 37959 50612 75918 101224 139183 151836 218681 278366 303672 417549 437362 518773 556732 656043 835098 874724 1037546 1113464 1312086 1556319 1670196 1749448 2075092 2405491 2624172 3112638 3340392 4150184 4810982 5248344 5706503 6225276 7216473 8965921 9621964 11413006 12450552 14432946 17119509 17931842 19243928 22826012 26897763 28865892 34239018 35863684 45652024 53795526 57731784 68478036 71727368 98625131 107591052 136956072 197250262 215182104 295875393 394500524 591750786 789001048 1183501572 2367003144 2766970693 5533941386 8300912079 11067882772 16601824158 22135765544 30436677623 33203648316 60873355246 66407296632 91310032869 113445798413 121746710492 182620065738 226891596826 243493420984 340337395239 365240131476 453783193652 680674790478 730480262952 907566387304 1247903782543 1361349580956 2495807565086 2722699161912 3743711347629 4991615130172 7487422695258 9983230260344 14974845390516 29949690781032