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9880202664 = 2333177137897
BaseRepresentation
bin10010011001110011…
…11110110110101000
3221111120100022002000
421030321332312220
5130213312441124
64312223011000
7466561223403
oct111471766650
927446308060
109880202664
114210131552
121ab8a39a60
13c15c34887
1469a29ad3a
153cc5e76c9
hex24ce7eda8

9880202664 has 128 divisors (see below), whose sum is σ = 29469484800. Its totient is φ = 3055933440.

The previous prime is 9880202569. The next prime is 9880202671. The reversal of 9880202664 is 4662020889.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241764 + ... + 279660.

It is an arithmetic number, because the mean of its divisors is an integer number (230230350).

Almost surely, 29880202664 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 9880202664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734742400).

9880202664 is an abundant number, since it is smaller than the sum of its proper divisors (19589282136).

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

9880202664 is a wasteful number, since it uses less digits than its factorization.

9880202664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38000 (or 37990 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9880202664 is about 99399.2085682778. The cubic root of 9880202664 is about 2145.7969203776.

The spelling of 9880202664 in words is "nine billion, eight hundred eighty million, two hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 71 72 102 108 136 142 153 204 213 216 284 306 408 426 459 568 612 639 852 918 1207 1224 1278 1704 1836 1917 2414 2556 3621 3672 3834 4828 5112 7242 7668 9656 10863 14484 15336 21726 28968 32589 37897 43452 65178 75794 86904 113691 130356 151588 227382 260712 303176 341073 454764 644249 682146 909528 1023219 1288498 1364292 1932747 2046438 2576996 2690687 2728584 3865494 4092876 5153992 5381374 5798241 7730988 8072061 8185752 10762748 11596482 15461976 16144122 17394723 21525496 23192964 24216183 32288244 34789446 45741679 46385928 48432366 64576488 69578892 72648549 91483358 96864732 137225037 139157784 145297098 182966716 193729464 274450074 290594196 365933432 411675111 548900148 581188392 823350222 1097800296 1235025333 1646700444 2470050666 3293400888 4940101332 9880202664