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12102939943956 = 22322383339175393
BaseRepresentation
bin1011000000011110111101…
…1011111010010000010100
31120212000210200202001222100
42300013233123322100110
53041243310111201311
641424002554202100
72356260064054131
oct260075733722024
946760720661870
1012102939943956
113946912091354
12143576a123330
1369a3c1317224
142dbadd291588
1515ec5a2d9a56
hexb01ef6fa414

12102939943956 has 72 divisors (see below), whose sum is σ = 31924261736640. Its totient is φ = 3858840082944.

The previous prime is 12102939943889. The next prime is 12102939943967. The reversal of 12102939943956 is 65934993920121.

12102939943956 is a `hidden beast` number, since 1 + 2 + 102 + 9 + 3 + 99 + 439 + 5 + 6 = 666.

12102939943956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12102939943893 and 12102939943902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68916996 + ... + 69092388.

It is an arithmetic number, because the mean of its divisors is an integer number (443392524120).

Almost surely, 212102939943956 is an apocalyptic number.

It is an amenable number.

12102939943956 is an abundant number, since it is smaller than the sum of its proper divisors (19821321792684).

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

12102939943956 is a wasteful number, since it uses less digits than its factorization.

12102939943956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258765 (or 258760 counting only the distinct ones).

The product of its (nonzero) digits is 28343520, while the sum is 63.

The spelling of 12102939943956 in words is "twelve trillion, one hundred two billion, nine hundred thirty-nine million, nine hundred forty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 83339 166678 175393 250017 333356 350786 500034 526179 701572 750051 1000068 1052358 1500102 1578537 1916797 2104716 3000204 3157074 3833594 4034039 5750391 6314148 7667188 8068078 11500782 12102117 16136156 17251173 23001564 24204234 34502346 36306351 48408468 69004692 72612702 145225404 14617077227 29234154454 43851231681 58468308908 87702463362 131553695043 175404926724 263107390086 336192776221 526214780172 672385552442 1008578328663 1344771104884 2017156657326 3025734985989 4034313314652 6051469971978 12102939943956