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9934721940 = 223511213105263
BaseRepresentation
bin10010100000010011…
…11101001110010100
3221122100221011110110
421100021331032110
5130321242100230
64321451323020
7501122512623
oct112011751624
927570834413
109934721940
114238989700
121b13150470
13c24312cc0
146a360d6ba
153d22b64b0
hex25027d394

9934721940 has 144 divisors (see below), whose sum is σ = 32928263424. Its totient is φ = 2223133440.

The previous prime is 9934721917. The next prime is 9934721947. The reversal of 9934721940 is 491274399.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9934721940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9934721947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41749 + ... + 147011.

It is an arithmetic number, because the mean of its divisors is an integer number (228668496).

Almost surely, 29934721940 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 9934721940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464131712).

9934721940 is an abundant number, since it is smaller than the sum of its proper divisors (22993541484).

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

9934721940 is a wasteful number, since it uses less digits than its factorization.

9934721940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105310 (or 105297 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 9934721940 is about 99673.0753012066. The cubic root of 9934721940 is about 2149.7365417214.

The spelling of 9934721940 in words is "nine billion, nine hundred thirty-four million, seven hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 121 130 132 143 156 165 195 220 242 260 286 330 363 390 429 484 572 605 660 715 726 780 858 1210 1430 1452 1573 1716 1815 2145 2420 2860 3146 3630 4290 4719 6292 7260 7865 8580 9438 15730 18876 23595 31460 47190 94380 105263 210526 315789 421052 526315 631578 1052630 1157893 1263156 1368419 1578945 2105260 2315786 2736838 3157890 3473679 4105257 4631572 5473676 5789465 6315780 6842095 6947358 8210514 11578930 12736823 13684190 13894716 15052609 16421028 17368395 20526285 23157860 25473646 27368380 30105218 34736790 38210469 41052570 45157827 50947292 60210436 63684115 69473580 75263045 76420938 82105140 90315654 127368230 150526090 152841876 165578699 180631308 191052345 225789135 254736460 301052180 331157398 382104690 451578270 496736097 662314796 764209380 827893495 903156540 993472194 1655786990 1986944388 2483680485 3311573980 4967360970 9934721940