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12387317363808 = 2533733311046959
BaseRepresentation
bin1011010001000010010110…
…1001101011010001100000
31121212012211110000210121220
42310100211221223101200
53110423211221120213
642202353253215040
72415645162204552
oct264204551532140
947765743023556
1012387317363808
113a46482795992
1214808b3631480
136bb17162656a
1430b7996294d2
151673511a5e23
hexb4425a6b460

12387317363808 has 96 divisors (see below), whose sum is σ = 33405595614720. Its totient is φ = 4016298401280.

The previous prime is 12387317363807. The next prime is 12387317363821. The reversal of 12387317363808 is 80836371378321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12387317363807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11308233 + ... + 12355191.

It is an arithmetic number, because the mean of its divisors is an integer number (347974954320).

Almost surely, 212387317363808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12387317363808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16702797807360).

12387317363808 is an abundant number, since it is smaller than the sum of its proper divisors (21018278250912).

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

12387317363808 is a wasteful number, since it uses less digits than its factorization.

12387317363808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050340 (or 1050332 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 12387317363808 in words is "twelve trillion, three hundred eighty-seven billion, three hundred seventeen million, three hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3331 3552 6662 9993 13324 19986 26648 39972 53296 79944 106592 123247 159888 246494 319776 369741 492988 739482 985976 1046959 1478964 1971952 2093918 2957928 3140877 3943904 4187836 5915856 6281754 8375672 11831712 12563508 16751344 25127016 33502688 38737483 50254032 77474966 100508064 116212449 154949932 232424898 309899864 464849796 619799728 929699592 1239599456 1859399184 3487420429 3718798368 6974840858 10462261287 13949681716 20924522574 27899363432 41849045148 55798726864 83698090296 111597453728 129034555873 167396180592 258069111746 334792361184 387103667619 516138223492 774207335238 1032276446984 1548414670476 2064552893968 3096829340952 4129105787936 6193658681904 12387317363808