Search a number
-
+
9823194434872 = 2371353320979337
BaseRepresentation
bin1000111011110010010000…
…0000111100110100111000
31021210002101022100221102101
42032330210000330310320
52241420400233403442
632520414020113144
72032462626005350
oct216744400746470
937702338327371
109823194434872
113147aa2194065
121127973b357b4
13563428284730
1425d6336adb60
151207ccdd8cb7
hex8ef2403cd38

9823194434872 has 128 divisors (see below), whose sum is σ = 23104114185600. Its totient is φ = 3811540082688.

The previous prime is 9823194434861. The next prime is 9823194434873. The reversal of 9823194434872 is 2784344913289.

It is a hoax number, since the sum of its digits (64) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9823194434873) 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, 123776388 + ... + 123855724.

It is an arithmetic number, because the mean of its divisors is an integer number (180500892075).

Almost surely, 29823194434872 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 9823194434872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552057092800).

9823194434872 is an abundant number, since it is smaller than the sum of its proper divisors (13280919750728).

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

9823194434872 is a wasteful number, since it uses less digits than its factorization.

9823194434872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82625 (or 82621 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 64.

The spelling of 9823194434872 in words is "nine trillion, eight hundred twenty-three billion, one hundred ninety-four million, four hundred thirty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 689 728 742 1378 1484 2756 2968 3209 4823 5512 6418 9646 12836 19292 22463 25672 38584 41717 44926 79337 83434 89852 158674 166868 170077 179704 292019 317348 333736 340154 555359 584038 634696 680308 1031381 1110718 1168076 1190539 1360616 2062762 2211001 2221436 2336152 2381078 4125524 4204861 4422002 4442872 4762156 7219667 8251048 8409722 8844004 9524312 14439334 15477007 16819444 17688008 28878668 29434027 30954014 33638888 54663193 57757336 58868054 61908028 109326386 117736108 123816056 218652772 235472216 254592433 382642351 437305544 509184866 765284702 1018369732 1530569404 1782147031 2036739464 3061138808 3309701629 3564294062 6619403258 7128588124 13238806516 13493398949 14257176248 23167911403 26477613032 26986797898 46335822806 53973595796 92671645612 94453792643 107947191592 175414186337 185343291224 188907585286 350828372674 377815170572 701656745348 755630341144 1227899304359 1403313490696 2455798608718 4911597217436 9823194434872