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4963423612680 = 233251319222912829
BaseRepresentation
bin100100000111010001100…
…0110011110111100001000
3122120111110112012010121100
41020032203012132330020
51122310042421101210
614320055413341400
71021411156412331
oct110164306367410
918514415163540
104963423612680
111643a81262395
12681b40637860
132a00833b4430
14132333b71288
158919b5a85c0
hex483a319ef08

4963423612680 has 576 divisors, whose sum is σ = 18415917702000. Its totient is φ = 1152318099456.

The previous prime is 4963423612619. The next prime is 4963423612709. The reversal of 4963423612680 is 862163243694.

4963423612680 is a `hidden beast` number, since 4 + 9 + 6 + 342 + 36 + 1 + 268 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3195635317956 + 1767788294724 = 1787634^2 + 1329582^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 386884506 + ... + 386897334.

Almost surely, 24963423612680 is an apocalyptic number.

4963423612680 is a gapful number since it is divisible by the number (40) 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 4963423612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207958851000).

4963423612680 is an abundant number, since it is smaller than the sum of its proper divisors (13452494089320).

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

4963423612680 is a wasteful number, since it uses less digits than its factorization.

4963423612680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13126 (or 13100 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 4963423612680 in words is "four trillion, nine hundred sixty-three billion, four hundred twenty-three million, six hundred twelve thousand, six hundred eighty".