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12378987264 = 28377331543
BaseRepresentation
bin10111000011101100…
…00101101100000000
31011221201020201010210
423201312011230000
5200323010043024
65404204354120
7615522440610
oct134166055400
934851221123
1012378987264
115282685396
122495845940
131223829a47
148560b2a40
154c6b83129
hex2e1d85b00

12378987264 has 144 divisors (see below), whose sum is σ = 38169754112. Its totient is φ = 3488292864.

The previous prime is 12378987259. The next prime is 12378987281. The reversal of 12378987264 is 46278987321.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376677 + ... + 408219.

Almost surely, 212378987264 is an apocalyptic number.

12378987264 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 12378987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084877056).

12378987264 is an abundant number, since it is smaller than the sum of its proper divisors (25790766848).

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

12378987264 is an equidigital number, since it uses as much as digits as its factorization.

12378987264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31642 (or 31628 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

Adding to 12378987264 its sum of digits (57), we get a palindrome (12378987321).

The spelling of 12378987264 in words is "twelve billion, three hundred seventy-eight million, nine hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 256 292 336 384 438 448 511 584 672 768 876 896 1022 1168 1344 1533 1752 1792 2044 2336 2688 3066 3504 4088 4672 5376 6132 7008 8176 9344 12264 14016 16352 18688 24528 28032 31543 32704 49056 56064 63086 65408 94629 98112 126172 130816 189258 196224 220801 252344 378516 392448 441602 504688 662403 757032 883204 1009376 1324806 1514064 1766408 2018752 2302639 2649612 3028128 3532816 4037504 4605278 5299224 6056256 6907917 7065632 8075008 9210556 10598448 12112512 13815834 14131264 16118473 18421112 21196896 24225024 27631668 28262528 32236946 36842224 42393792 48355419 55263336 56525056 64473892 73684448 84787584 96710838 110526672 128947784 147368896 169575168 193421676 221053344 257895568 294737792 386843352 442106688 515791136 589475584 773686704 884213376 1031582272 1547373408 1768426752 2063164544 3094746816 4126329088 6189493632 12378987264