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2063812608 = 21135111329
BaseRepresentation
bin111101100000011…
…0100100000000000
312022211102112200000
41323000310200000
513211314000413
6540442400000
7102100055244
oct17300644000
95284375600
102063812608
11969a71a60
12497200000
1326b75a7c0
1415814a424
15c12ba073
hex7b034800

2063812608 has 576 divisors, whose sum is σ = 7512523200. Its totient is φ = 557383680.

The previous prime is 2063812607. The next prime is 2063812627. The reversal of 2063812608 is 8062183602.

2063812608 is a `hidden beast` number, since 2 + 0 + 6 + 38 + 12 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2063812607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71165938 + ... + 71165966.

It is an arithmetic number, because the mean of its divisors is an integer number (13042575).

Almost surely, 22063812608 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 2063812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756261600).

2063812608 is an abundant number, since it is smaller than the sum of its proper divisors (5448710592).

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

2063812608 is a wasteful number, since it uses less digits than its factorization.

2063812608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2063812608 is about 45429.2043513861. The cubic root of 2063812608 is about 1273.1808187594.

The spelling of 2063812608 in words is "two billion, sixty-three million, eight hundred twelve thousand, six hundred eight".