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12355042616500 = 2253138117892893
BaseRepresentation
bin1011001111001010000111…
…1011010010010010110100
31121202010112011101202120111
42303302201323102102310
53104411111402212000
642135454521312404
72413423321321423
oct263624173222264
947663464352514
1012355042616500
113a33820509601
1214765a6935704
136b80c9bbb54c
14309db70472ba
151665b29e7cba
hexb3ca1ed24b4

12355042616500 has 48 divisors (see below), whose sum is σ = 27002953622736. Its totient is φ = 4938438192000.

The previous prime is 12355042616479. The next prime is 12355042616531. The reversal of 12355042616500 is 561624055321.

12355042616500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7889200147984 + 4465842468516 = 2808772^2 + 2113254^2 .

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, 8255947 + ... + 9636946.

It is an arithmetic number, because the mean of its divisors is an integer number (562561533807).

Almost surely, 212355042616500 is an apocalyptic number.

12355042616500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12355042616500 is an abundant number, since it is smaller than the sum of its proper divisors (14647911006236).

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

12355042616500 is a wasteful number, since it uses less digits than its factorization.

12355042616500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17894293 (or 17894281 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 12355042616500 in words is "twelve trillion, three hundred fifty-five billion, forty-two million, six hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 1381 2762 5524 6905 13810 27620 34525 69050 138100 172625 345250 690500 17892893 35785786 71571572 89464465 178928930 357857860 447322325 894644650 1789289300 2236611625 4473223250 8946446500 24710085233 49420170466 98840340932 123550426165 247100852330 494201704660 617752130825 1235504261650 2471008523300 3088760654125 6177521308250 12355042616500