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12912873672 = 2333138944617
BaseRepresentation
bin11000000011010101…
…01101000011001000
31020022220211221121110
430001222231003020
5202421143424142
65533155410320
7634664421006
oct140152550310
936286757543
1012912873672
115526a87126
1226045b39a0
1312aa317a6a
148a6d69a76
1550899199c
hex301aad0c8

12912873672 has 64 divisors (see below), whose sum is σ = 33409958400. Its totient is φ = 4154641920.

The previous prime is 12912873593. The next prime is 12912873709. The reversal of 12912873672 is 27637821921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267108 + ... + 311724.

It is an arithmetic number, because the mean of its divisors is an integer number (522030600).

Almost surely, 212912873672 is an apocalyptic number.

12912873672 is a gapful number since it is divisible by the number (12) 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 12912873672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16704979200).

12912873672 is an abundant number, since it is smaller than the sum of its proper divisors (20497084728).

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

12912873672 is a wasteful number, since it uses less digits than its factorization.

12912873672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45046 (or 45042 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The spelling of 12912873672 in words is "twelve billion, nine hundred twelve million, eight hundred seventy-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 389 744 778 1167 1556 2334 3112 4668 9336 12059 24118 36177 44617 48236 72354 89234 96472 133851 144708 178468 267702 289416 356936 535404 1070808 1383127 2766254 4149381 5532508 8298762 11065016 16597524 17356013 33195048 34712026 52068039 69424052 104136078 138848104 208272156 416544312 538036403 1076072806 1614109209 2152145612 3228218418 4304291224 6456436836 12912873672