Search a number
-
+
629944063016064 = 273171979499128837
BaseRepresentation
bin1000111100111011100100100…
…0000110101011110010000000
310001121110001201212021201200120
42033032321020012223302000
51130032000420113003224
610111440150224020240
7246454646062303506
oct21716711006536200
93047401655251616
10629944063016064
111727a085aa68055
125a79b468161680
13210666161a50c4
14b17b653600676
154cc64562b5779
hex23cee481abc80

629944063016064 has 512 divisors, whose sum is σ = 1892372544000000. Its totient is φ = 184486093848576.

The previous prime is 629944063016033. The next prime is 629944063016077. The reversal of 629944063016064 is 460610360449926.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 629944063015989 and 629944063016007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4889401054 + ... + 4889529890.

It is an arithmetic number, because the mean of its divisors is an integer number (3696040125000).

Almost surely, 2629944063016064 is an apocalyptic number.

629944063016064 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 629944063016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946186272000000).

629944063016064 is an abundant number, since it is smaller than the sum of its proper divisors (1262428480983936).

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

629944063016064 is a wasteful number, since it uses less digits than its factorization.

629944063016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129468 (or 129456 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 60.

The spelling of 629944063016064 in words is "six hundred twenty-nine trillion, nine hundred forty-four billion, sixty-three million, sixteen thousand, sixty-four".