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12387880859648 = 2117472391177
BaseRepresentation
bin1011010001000100011100…
…1111001111100000000000
31121212021021201100100121012
42310101013033033200000
53110430340000002043
642202525223020052
72415665143635560
oct264210717174000
947767251310535
1012387880859648
113a46741880728
121480a3029a628
136bb2312b0858
1430b8103ccda0
151673858b2a18
hexb44473cf800

12387880859648 has 144 divisors (see below), whose sum is σ = 28923435318960. Its totient is φ = 5196119113728.

The previous prime is 12387880859633. The next prime is 12387880859657. The reversal of 12387880859648 is 84695808878321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31472636 + ... + 31863812.

It is an arithmetic number, because the mean of its divisors is an integer number (200857189715).

It is a 1-persistent number, because it is pandigital, but 2⋅12387880859648 = 24775761719296 is not.

Almost surely, 212387880859648 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 12387880859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461717659480).

12387880859648 is an abundant number, since it is smaller than the sum of its proper divisors (16535554459312).

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

12387880859648 is an frugal number, since it uses more digits than its factorization.

12387880859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391300 (or 391233 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 77.

The spelling of 12387880859648 in words is "twelve trillion, three hundred eighty-seven billion, eight hundred eighty million, eight hundred fifty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 512 658 752 896 1024 1316 1504 1792 2048 2209 2632 3008 3584 4418 5264 6016 7168 8836 10528 12032 14336 15463 17672 21056 24064 30926 35344 42112 48128 61852 70688 84224 96256 123704 141376 168448 247408 282752 336896 391177 494816 565504 673792 782354 989632 1131008 1564708 1979264 2262016 2738239 3129416 3958528 4524032 5476478 6258832 7917056 10952956 12517664 15834112 18385319 21905912 25035328 31668224 36770638 43811824 50070656 73541276 87623648 100141312 128697233 147082552 175247296 200282624 257394466 294165104 350494592 400565248 514788932 588330208 700989184 801130496 864109993 1029577864 1176660416 1401978368 1728219986 2059155728 2353320832 2803956736 3456439972 4118311456 4706641664 5607913472 6048769951 6912879944 8236622912 9413283328 12097539902 13825759888 16473245824 18826566656 24195079804 27651519776 32946491648 37653133312 48390159608 55303039552 65892983296 96780319216 110606079104 131785966592 193560638432 221212158208 263571933184 387121276864 442424316416 774242553728 884848632832 1548485107456 1769697265664 3096970214912 6193940429824 12387880859648