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12183230976 = 29372574409
BaseRepresentation
bin10110101100010110…
…10101101000000000
31011110001220020222220
423112023111220000
5144422401342401
65332532531040
7610624516560
oct132613255000
934401806886
1012183230976
115192130834
122440180a80
1311c20ca217
148380b6da0
154b48b6336
hex2d62d5a00

12183230976 has 160 divisors (see below), whose sum is σ = 37246366080. Its totient is φ = 3466592256.

The previous prime is 12183230971. The next prime is 12183231001. The reversal of 12183230976 is 67903238121.

It is a super-2 number, since 2×121832309762 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12183230971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2761060 + ... + 2765468.

It is an arithmetic number, because the mean of its divisors is an integer number (232789788).

Almost surely, 212183230976 is an apocalyptic number.

12183230976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12183230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623183040).

12183230976 is an abundant number, since it is smaller than the sum of its proper divisors (25063135104).

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

12183230976 is an equidigital number, since it uses as much as digits as its factorization.

12183230976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 12183230976 in words is "twelve billion, one hundred eighty-three million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 257 336 384 448 512 514 672 768 771 896 1028 1344 1536 1542 1792 1799 2056 2688 3084 3584 3598 4112 4409 5376 5397 6168 7196 8224 8818 10752 10794 12336 13227 14392 16448 17636 21588 24672 26454 28784 30863 32896 35272 43176 49344 52908 57568 61726 65792 70544 86352 92589 98688 105816 115136 123452 131584 141088 172704 185178 197376 211632 230272 246904 282176 345408 370356 394752 423264 460544 493808 564352 690816 740712 846528 921088 987616 1128704 1133113 1381632 1481424 1693056 1975232 2257408 2266226 2763264 2962848 3386112 3399339 3950464 4532452 5925696 6772224 6798678 7900928 7931791 9064904 11851392 13597356 15801856 15863582 18129808 23702784 23795373 27194712 31727164 36259616 47405568 47590746 54389424 63454328 72519232 95181492 108778848 126908656 145038464 190362984 217557696 253817312 290076928 380725968 435115392 507634624 580153856 761451936 870230784 1015269248 1522903872 1740461568 2030538496 3045807744 4061076992 6091615488 12183230976