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63225142848 = 2632722676917
BaseRepresentation
bin111010111000100000…
…110001111001000000
320001012021021001000100
4322320200301321000
52013441114032343
645013434122400
74365530563350
oct727040617100
9201167231010
1063225142848
11248a4a4367a
1210305b80400
135c6798cc3a
1430bad44b60
1519a096a9d3
hexeb8831e40

63225142848 has 168 divisors, whose sum is σ = 207233836992. Its totient is φ = 18053747712.

The previous prime is 63225142829. The next prime is 63225142861. The reversal of 63225142848 is 84824152236.

63225142848 is a `hidden beast` number, since 632 + 2 + 5 + 1 + 4 + 2 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×632251428482 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9137086 + ... + 9144002.

It is an arithmetic number, because the mean of its divisors is an integer number (1233534744).

Almost surely, 263225142848 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 63225142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103616918496).

63225142848 is an abundant number, since it is smaller than the sum of its proper divisors (144008694144).

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

63225142848 is a wasteful number, since it uses less digits than its factorization.

63225142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209 (or 9196 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 63225142848 in words is "sixty-three billion, two hundred twenty-five million, one hundred forty-two thousand, eight hundred forty-eight".