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12670672424272 = 2417295330307973
BaseRepresentation
bin1011100001100001111011…
…1011011100110101010000
31122212022012221120021211221
42320120132323130311100
53130044014120034042
642540454311414424
72445266034400552
oct270303673346520
948768187507757
1012670672424272
114045669294805
1215077b2684414
1370babab9a405
1431b399cb54d2
1516e8d7425d67
hexb861eedcd50

12670672424272 has 80 divisors (see below), whose sum is σ = 27397196177040. Its totient is φ = 5648436125696.

The previous prime is 12670672424269. The next prime is 12670672424327. The reversal of 12670672424272 is 27242427607621.

It can be written as a sum of positive squares in 8 ways, for example, as 4498369516096 + 8172302908176 = 2120936^2 + 2858724^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14735923 + ... + 15572050.

It is an arithmetic number, because the mean of its divisors is an integer number (342464952213).

Almost surely, 212670672424272 is an apocalyptic number.

It is an amenable number.

12670672424272 is an abundant number, since it is smaller than the sum of its proper divisors (14726523752768).

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

12670672424272 is a wasteful number, since it uses less digits than its factorization.

12670672424272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30308080 (or 30308074 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 52.

The spelling of 12670672424272 in words is "twelve trillion, six hundred seventy billion, six hundred seventy-two million, four hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 34 53 58 68 106 116 136 212 232 272 424 464 493 848 901 986 1537 1802 1972 3074 3604 3944 6148 7208 7888 12296 14416 24592 26129 52258 104516 209032 418064 30307973 60615946 121231892 242463784 484927568 515235541 878931217 1030471082 1606322569 1757862434 2060942164 3212645138 3515724868 4121884328 6425290276 7031449736 8243768656 12850580552 14062899472 14941830689 25701161104 27307483673 29883661378 46583354501 54614967346 59767322756 93166709002 109229934692 119534645512 186333418004 218459869384 239069291024 372666836008 436919738768 745333672016 791917026517 1583834053034 3167668106068 6335336212136 12670672424272