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21150215256042 = 23210111633781769
BaseRepresentation
bin1001100111100011010110…
…00100010011011111101010
32202212221101212101120210100
410303301223010103133222
510233011120101143132
6112552135202530230
74312024023256545
oct463615304233752
982787355346710
1021150215256042
116814835144134
122457078366976
13ba55c25c8062
1453196688985c
1526a27404b37c
hex133c6b1137ea

21150215256042 has 24 divisors (see below), whose sum is σ = 46279183881060. Its totient is φ = 6980269060800.

The previous prime is 21150215256041. The next prime is 21150215256059. The reversal of 21150215256042 is 24065251205112.

21150215256042 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 0 + 2 + 1 + 52 + 560 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20469209052681 + 681006203361 = 4524291^2 + 825231^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21150215255988 and 21150215256006.

It is not an unprimeable number, because it can be changed into a prime (21150215256041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5816889067 + ... + 5816892702.

Almost surely, 221150215256042 is an apocalyptic number.

21150215256042 is an abundant number, since it is smaller than the sum of its proper divisors (25128968625018).

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

21150215256042 is a wasteful number, since it uses less digits than its factorization.

21150215256042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11633781878 (or 11633781875 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 21150215256042 in words is "twenty-one trillion, one hundred fifty billion, two hundred fifteen million, two hundred fifty-six thousand, forty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 11633781769 23267563538 34901345307 69802690614 104704035921 209408071842 1175011958669 2350023917338 3525035876007 7050071752014 10575107628021 21150215256042