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12014065632656 = 2419291663819457
BaseRepresentation
bin1010111011010011111000…
…0111010100010110010000
31120112112101220001021110002
42232310332013110112100
53033314301300221111
641315104025225132
72346662513634623
oct256647607242620
946475356037402
1012014065632656
1139121559308aa
1214204a63321a8
13691bc979b449
142d76aba9bdba
1515c7a7bba63b
hexaed3e1d4590

12014065632656 has 80 divisors (see below), whose sum is σ = 25362552883200. Its totient is φ = 5491325435904.

The previous prime is 12014065632643. The next prime is 12014065632677. The reversal of 12014065632656 is 65623656041021.

12014065632656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120140656326562 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12014065632656.

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, 14251280 + ... + 15070736.

It is an arithmetic number, because the mean of its divisors is an integer number (317031911040).

Almost surely, 212014065632656 is an apocalyptic number.

12014065632656 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 12014065632656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681276441600).

12014065632656 is an abundant number, since it is smaller than the sum of its proper divisors (13348487250544).

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

12014065632656 is a wasteful number, since it uses less digits than its factorization.

12014065632656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821176 (or 821170 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 12014065632656 in words is "twelve trillion, fourteen billion, sixty-five million, six hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 464 551 1102 1663 2204 3326 4408 6652 8816 13304 26608 31597 48227 63194 96454 126388 192908 252776 385816 505552 771632 819457 916313 1638914 1832626 3277828 3665252 6555656 7330504 13111312 14661008 15569683 23764253 31139366 47528506 62278732 95057012 124557464 190114024 249114928 380228048 451520807 903041614 1362756991 1806083228 2725513982 3612166456 5451027964 7224332912 10902055928 21804111856 25892382829 39519952739 51784765658 79039905478 103569531316 158079810956 207139062632 316159621912 414278125264 632319243824 750879102041 1501758204082 3003516408164 6007032816328 12014065632656