Search a number
-
+
12337032988 = 2273771179937
BaseRepresentation
bin10110111110101100…
…00010111100011100
31011211210022012200201
423133112002330130
5200231240023423
65400105233244
7614503023130
oct133726027434
934753265621
1012337032988
115260a2a535
122483792824
131217c2a827
148506b13c0
154c31472ad
hex2df582f1c

12337032988 has 96 divisors (see below), whose sum is σ = 25868989440. Its totient is φ = 5038225920.

The previous prime is 12337032977. The next prime is 12337032989. The reversal of 12337032988 is 88923073321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12337032989) by changing a digit.

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, 13166056 + ... + 13166992.

It is an arithmetic number, because the mean of its divisors is an integer number (269468640).

Almost surely, 212337032988 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 12337032988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934494720).

12337032988 is an abundant number, since it is smaller than the sum of its proper divisors (13531956452).

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

12337032988 is a wasteful number, since it uses less digits than its factorization.

12337032988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 12337032988 in words is "twelve billion, three hundred thirty-seven million, thirty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 4 7 14 28 37 71 74 142 148 179 259 284 358 497 518 716 937 994 1036 1253 1874 1988 2506 2627 3748 5012 5254 6559 6623 10508 12709 13118 13246 18389 25418 26236 26492 34669 36778 46361 50836 66527 69338 73556 88963 92722 133054 138676 167723 177926 185444 242683 266108 335446 355852 465689 470233 485366 670892 931378 940466 970732 1174061 1862756 1880932 2348122 2461499 3291631 4696244 4922998 6205751 6583262 9845996 11908333 12411502 13166524 17230493 23816666 24823004 34460986 43440257 47633332 68921972 83358331 86880514 166716662 173761028 333433324 440608321 881216642 1762433284 3084258247 6168516494 12337032988