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12083938389504 = 293216715702889
BaseRepresentation
bin1010111111011000001011…
…0110101110111000000000
31120210012202102222002112100
42233312002312232320000
53040440401211431004
641411141253030400
72355015154365162
oct257660266567000
946705672862470
1012083938389504
113939851214243
121431b46625400
13698683754097
142dac19830932
1515e4e7044739
hexafd82daee00

12083938389504 has 120 divisors (see below), whose sum is σ = 35083899330480. Its totient is φ = 4003859570688.

The previous prime is 12083938389469. The next prime is 12083938389547. The reversal of 12083938389504 is 40598383938021.

12083938389504 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 3 + 93 + 8 + 38 + 9 + 504 = 666.

12083938389504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7081909 + ... + 8620980.

It is an arithmetic number, because the mean of its divisors is an integer number (292365827754).

Almost surely, 212083938389504 is an apocalyptic number.

It is an amenable number.

12083938389504 is an abundant number, since it is smaller than the sum of its proper divisors (22999960940976).

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

12083938389504 is a wasteful number, since it uses less digits than its factorization.

12083938389504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15703080 (or 15703061 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 12083938389504 in words is "twelve trillion, eighty-three billion, nine hundred thirty-eight million, three hundred eighty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 512 576 668 768 1002 1152 1336 1503 1536 2004 2304 2672 3006 4008 4608 5344 6012 8016 10688 12024 16032 21376 24048 32064 42752 48096 64128 85504 96192 128256 192384 256512 384768 769536 15702889 31405778 47108667 62811556 94217334 125623112 141326001 188434668 251246224 282652002 376869336 502492448 565304004 753738672 1004984896 1130608008 1507477344 2009969792 2261216016 2622382463 3014954688 4019939584 4522432032 5244764926 6029909376 7867147389 8039879168 9044864064 10489529852 12059818752 15734294778 18089728128 20979059704 23601442167 24119637504 31468589556 36179456256 41958119408 47202884334 62937179112 72358912512 83916238816 94405768668 125874358224 167832477632 188811537336 251748716448 335664955264 377623074672 503497432896 671329910528 755246149344 1006994865792 1342659821056 1510492298688 2013989731584 3020984597376 4027979463168 6041969194752 12083938389504