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63486896256 = 2733751093
BaseRepresentation
bin111011001000000111…
…010010100010000000
320001212111210111012000
4323020013102202000
52020010121140011
645055424304000
74405156500000
oct731007224200
9201774714160
1063486896256
1124a19774903
1210379772000
135ca9c89304
143103a00000
1519b8922356
hexec81d2880

63486896256 has 384 divisors, whose sum is σ = 218801750400. Its totient is φ = 18122517504.

The previous prime is 63486896233. The next prime is 63486896281. The reversal of 63486896256 is 65269868436.

63486896256 is a `hidden beast` number, since 63 + 486 + 8 + 96 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 63486896193 and 63486896202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58084446 + ... + 58085538.

It is an arithmetic number, because the mean of its divisors is an integer number (569796225).

Almost surely, 263486896256 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 63486896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109400875200).

63486896256 is an abundant number, since it is smaller than the sum of its proper divisors (155314854144).

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

63486896256 is an frugal number, since it uses more digits than its factorization.

63486896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1105 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 63486896256 in words is "sixty-three billion, four hundred eighty-six million, eight hundred ninety-six thousand, two hundred fifty-six".