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12017006451408 = 243761547581099
BaseRepresentation
bin1010111011011110110101…
…1001101001101011010000
31120112210222211201100101010
42232313231121221223100
53033341312122421113
641320311521210520
72350125423323340
oct256675531515320
946483884640333
1012017006451408
11391342494a522
121420b87190a40
13692277b3159a
142d78aa49ad20
1515c8cae6e1c3
hexaeded669ad0

12017006451408 has 80 divisors (see below), whose sum is σ = 35479418457600. Its totient is φ = 3433368720768.

The previous prime is 12017006451389. The next prime is 12017006451413. The reversal of 12017006451408 is 80415460071021.

It is a congruent number.

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, 20389243 + ... + 20970341.

It is an arithmetic number, because the mean of its divisors is an integer number (443492730720).

Almost surely, 212017006451408 is an apocalyptic number.

It is an amenable number.

12017006451408 is an abundant number, since it is smaller than the sum of its proper divisors (23462412006192).

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

12017006451408 is a wasteful number, since it uses less digits than its factorization.

12017006451408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642664 (or 642658 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 12017006451408 in words is "twelve trillion, seventeen billion, six million, four hundred fifty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 61547 123094 184641 246188 369282 430829 492376 581099 738564 861658 984752 1162198 1292487 1477128 1723316 1743297 2324396 2584974 2954256 3446632 3486594 4067693 4648792 5169948 6893264 6973188 8135386 9297584 10339896 12203079 13946376 16270772 20679792 24406158 27892752 32541544 48812316 65083088 97624632 195249264 35764900153 71529800306 107294700459 143059600612 214589400918 250354301071 286119201224 429178801836 500708602142 572238402448 751062903213 858357603672 1001417204284 1502125806426 1716715207344 2002834408568 3004251612852 4005668817136 6008503225704 12017006451408