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63225561420 = 22335724395443
BaseRepresentation
bin111010111000100010…
…011000000101001100
320001012022001022012000
4322320202120011030
52013441220431140
645013451112300
74365534255600
oct727042300514
9201168038160
1063225561420
11248a51aa0aa
1210306142690
135c67aa8608
1430bb013500
1519a09eea30
hexeb889814c

63225561420 has 288 divisors, whose sum is σ = 229379673600. Its totient is φ = 14415988608.

The previous prime is 63225561403. The next prime is 63225561449. The reversal of 63225561420 is 2416552236.

63225561420 is a `hidden beast` number, since 6 + 3 + 225 + 5 + 6 + 1 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11613219 + ... + 11618661.

It is an arithmetic number, because the mean of its divisors is an integer number (796457200).

Almost surely, 263225561420 is an apocalyptic number.

63225561420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63225561420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114689836800).

63225561420 is an abundant number, since it is smaller than the sum of its proper divisors (166154112180).

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

63225561420 is a wasteful number, since it uses less digits than its factorization.

63225561420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 63225561420 in words is "sixty-three billion, two hundred twenty-five million, five hundred sixty-one thousand, four hundred twenty".