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12990959616 = 21236531619
BaseRepresentation
bin11000001100101001…
…00101000000000000
31020112100210010101110
430012110211000000
5203101141201431
65545025203320
7636633222555
oct140624450000
936470703343
1012990959616
115567070268
122626790540
1312c0557b6b
148b3494a2c
15510768346
hex306525000

12990959616 has 104 divisors (see below), whose sum is σ = 34712802720. Its totient is φ = 4321017856.

The previous prime is 12990959551. The next prime is 12990959647. The reversal of 12990959616 is 61695909921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8023255 + ... + 8024873.

Almost surely, 212990959616 is an apocalyptic number.

12990959616 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 12990959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356401360).

12990959616 is an abundant number, since it is smaller than the sum of its proper divisors (21721843104).

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

12990959616 is an equidigital number, since it uses as much as digits as its factorization.

12990959616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 57.

The spelling of 12990959616 in words is "twelve billion, nine hundred ninety million, nine hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 653 768 1024 1306 1536 1619 1959 2048 2612 3072 3238 3918 4096 4857 5224 6144 6476 7836 9714 10448 12288 12952 15672 19428 20896 25904 31344 38856 41792 51808 62688 77712 83584 103616 125376 155424 167168 207232 250752 310848 334336 414464 501504 621696 668672 828928 1003008 1057207 1243392 1337344 1657856 2006016 2114414 2486784 2674688 3171621 3315712 4012032 4228828 4973568 6343242 6631424 8024064 8457656 9947136 12686484 16915312 19894272 25372968 33830624 50745936 67661248 101491872 135322496 202983744 270644992 405967488 541289984 811934976 1082579968 1623869952 2165159936 3247739904 4330319872 6495479808 12990959616