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8121003642 = 2322291970161
BaseRepresentation
bin1111001000000110…
…01010111001111010
3202221222002201200200
413210003022321322
5113112434104032
63421501143030
7405150251313
oct74403127172
922858081620
108121003642
113498105264
1216a785aa76
139c562bacb
145707a560a
15327e4d47c
hex1e40cae7a

8121003642 has 24 divisors (see below), whose sum is σ = 17672353140. Its totient is φ = 2695178880.

The previous prime is 8121003641. The next prime is 8121003647. The reversal of 8121003642 is 2463001218.

8121003642 is a `hidden beast` number, since 8 + 1 + 2 + 10 + 0 + 3 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7394108121 + 726895521 = 85989^2 + 26961^2 .

It is not an unprimeable number, because it can be changed into a prime (8121003641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980959 + ... + 989202.

Almost surely, 28121003642 is an apocalyptic number.

8121003642 is an abundant number, since it is smaller than the sum of its proper divisors (9551349498).

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

8121003642 is a wasteful number, since it uses less digits than its factorization.

8121003642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970398 (or 1970395 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8121003642 is about 90116.6113544001. The cubic root of 8121003642 is about 2010.0332199158.

The spelling of 8121003642 in words is "eight billion, one hundred twenty-one million, three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 229 458 687 1374 2061 4122 1970161 3940322 5910483 11820966 17731449 35462898 451166869 902333738 1353500607 2707001214 4060501821 8121003642