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12046866944 = 297171491327
BaseRepresentation
bin10110011100000110…
…01001101000000000
31011002120022020201012
423032003021220000
5144132444220234
65311222100052
7604350452030
oct131603115000
934076266635
1012046866944
115122162492
12240257a628
13119ca93b48
14823d3b8c0
154a792c0ce
hex2ce0c9a00

12046866944 has 160 divisors (see below), whose sum is σ = 29344550400. Its totient is φ = 4822990848.

The previous prime is 12046866901. The next prime is 12046866947. The reversal of 12046866944 is 44966864021.

It is a junction number, because it is equal to n+sod(n) for n = 12046866892 and 12046866901.

It is not an unprimeable number, because it can be changed into a prime (12046866947) 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, 9077609 + ... + 9078935.

It is an arithmetic number, because the mean of its divisors is an integer number (183403440).

Almost surely, 212046866944 is an apocalyptic number.

12046866944 is a gapful number since it is divisible by the number (14) 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 12046866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14672275200).

12046866944 is an abundant number, since it is smaller than the sum of its proper divisors (17297683456).

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

12046866944 is a wasteful number, since it uses less digits than its factorization.

12046866944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The spelling of 12046866944 in words is "twelve billion, forty-six million, eight hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 149 224 238 256 272 298 448 476 512 544 596 896 952 1043 1088 1192 1327 1792 1904 2086 2176 2384 2533 2654 3584 3808 4172 4352 4768 5066 5308 7616 8344 8704 9289 9536 10132 10616 15232 16688 17731 18578 19072 20264 21232 22559 30464 33376 35462 37156 38144 40528 42464 45118 60928 66752 70924 74312 76288 81056 84928 90236 133504 141848 148624 157913 162112 169856 180472 197723 267008 283696 297248 315826 324224 339712 360944 395446 534016 567392 594496 631652 648448 679424 721888 790892 1134784 1188992 1263304 1296896 1384061 1443776 1581784 2269568 2377984 2526608 2768122 2887552 3163568 3361291 4539136 4755968 5053216 5536244 5775104 6327136 6722582 9078272 10106432 11072488 11550208 12654272 13445164 20212864 22144976 23529037 25308544 26890328 40425728 44289952 47058074 50617088 53780656 80851456 88579904 94116148 101234176 107561312 177159808 188232296 215122624 354319616 376464592 430245248 708639232 752929184 860490496 1505858368 1720980992 3011716736 6023433472 12046866944