Search a number
-
+
9926665992 = 2334311373607
BaseRepresentation
bin10010011111010110…
…01110011100001000
3221121210202212210000
421033223032130020
5130312211302432
64321002523000
7500664161115
oct111753163410
927553685700
109926665992
1142343870a1
121b10506460
13c22752279
146a251390c
153d172457c
hex24face708

9926665992 has 160 divisors (see below), whose sum is σ = 28918264320. Its totient is φ = 3177895680.

The previous prime is 9926665949. The next prime is 9926665999. The reversal of 9926665992 is 2995666299.

9926665992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9926665999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2750253 + ... + 2753859.

It is an arithmetic number, because the mean of its divisors is an integer number (180739152).

Almost surely, 29926665992 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 9926665992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459132160).

9926665992 is an abundant number, since it is smaller than the sum of its proper divisors (18991598328).

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

9926665992 is a wasteful number, since it uses less digits than its factorization.

9926665992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3780 counting only the distinct ones).

The product of its digits is 28343520, while the sum is 63.

The square root of 9926665992 is about 99632.6552491702. The cubic root of 9926665992 is about 2149.1553193165.

The spelling of 9926665992 in words is "nine billion, nine hundred twenty-six million, six hundred sixty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 137 162 186 216 248 274 279 324 372 411 548 558 648 744 822 837 1096 1116 1233 1644 1674 2232 2466 2511 3288 3348 3607 3699 4247 4932 5022 6696 7214 7398 8494 9864 10044 10821 11097 12741 14428 14796 16988 20088 21642 22194 25482 28856 29592 32463 33976 38223 43284 44388 50964 64926 76446 86568 88776 97389 101928 111817 114669 129852 152892 194778 223634 229338 259704 292167 305784 335451 344007 389556 447268 458676 494159 584334 670902 688014 779112 894536 917352 988318 1006353 1168668 1341804 1376028 1482477 1976636 2012706 2337336 2683608 2752056 2964954 3019059 3953272 4025412 4447431 5929908 6038118 8050824 8894862 9057177 11859816 12076236 13342293 15318929 17789724 18114354 24152472 26684586 30637858 35579448 36228708 40026879 45956787 53369172 61275716 72457416 80053758 91913574 106738344 122551432 137870361 160107516 183827148 275740722 320215032 367654296 413611083 551481444 827222166 1102962888 1240833249 1654444332 2481666498 3308888664 4963332996 9926665992