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63099712 = 2613149509
BaseRepresentation
bin1111000010110…
…1001101000000
311101201210112101
43300231031000
5112123142322
610132240144
71364224114
oct360551500
9141653471
1063099712
1132688825
1219170054
13100c3b10
148547744
155816327
hex3c2d340

63099712 has 56 divisors (see below), whose sum is σ = 136017000. Its totient is φ = 28870656.

The previous prime is 63099623. The next prime is 63099727. The reversal of 63099712 is 21799036.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 61716736 = 1176^2 + 7856^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123714 + ... + 124222.

It is an arithmetic number, because the mean of its divisors is an integer number (2428875).

Almost surely, 263099712 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 63099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68008500).

63099712 is an abundant number, since it is smaller than the sum of its proper divisors (72917288).

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

63099712 is a wasteful number, since it uses less digits than its factorization.

63099712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 63099712 is about 7943.5327153603. The cubic root of 63099712 is about 398.1155359298.

The spelling of 63099712 in words is "sixty-three million, ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 149 208 298 416 509 596 832 1018 1192 1937 2036 2384 3874 4072 4768 6617 7748 8144 9536 13234 15496 16288 26468 30992 32576 52936 61984 75841 105872 123968 151682 211744 303364 423488 606728 985933 1213456 1971866 2426912 3943732 4853824 7887464 15774928 31549856 63099712