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63287040870144 = 283672132311321
BaseRepresentation
bin11100110001111001010011…
…00101110000011100000000
322022002011220200200211000000
432120330221211300130000
531243343324430321034
6342333355404000000
716221223604351400
oct1630745145603400
9268064820624000
1063287040870144
111918a979755003
127121551b30000
132940c33447c00
14118b175604800
1574b393e28599
hex398f29970700

63287040870144 has 2268 divisors, whose sum is σ = 246461133183552. Its totient is φ = 16140437913600.

The previous prime is 63287040870139. The next prime is 63287040870169. The reversal of 63287040870144 is 44107804078236.

63287040870144 is a `hidden beast` number, since 6 + 3 + 28 + 7 + 0 + 408 + 70 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (2268).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 47908433004 + ... + 47908434324.

Almost surely, 263287040870144 is an apocalyptic number.

63287040870144 is a gapful number since it is divisible by the number (64) 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 63287040870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123230566591776).

63287040870144 is an abundant number, since it is smaller than the sum of its proper divisors (183174092313408).

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

63287040870144 is a wasteful number, since it uses less digits than its factorization.

63287040870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 63287040870144 in words is "sixty-three trillion, two hundred eighty-seven billion, forty million, eight hundred seventy thousand, one hundred forty-four".