Search a number
-
+
634450664423360 = 265472271330913963
BaseRepresentation
bin1001000001000001111000111…
…0011110101111111111000000
310002012101220001122220101020202
42100100132032132233333000
51131124314430043021420
610125210340032224332
7250431355625234561
oct22020361636577700
93065356048811222
10634450664423360
11174179019a77124
125b1a895799b0a8
1321302596986665
14b29580c7a4168
154d537b76d6575
hex241078e7affc0

634450664423360 has 224 divisors, whose sum is σ = 1549954507115520. Its totient is φ = 247250208411648.

The previous prime is 634450664423311. The next prime is 634450664423507. The reversal of 634450664423360 is 63324466054436.

634450664423360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 634450664423296 and 634450664423305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45437983739 + ... + 45437997701.

Almost surely, 2634450664423360 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 634450664423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774977253557760).

634450664423360 is an abundant number, since it is smaller than the sum of its proper divisors (915503842692160).

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

634450664423360 is a wasteful number, since it uses less digits than its factorization.

634450664423360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27563 (or 27553 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 56.

The spelling of 634450664423360 in words is "six hundred thirty-four trillion, four hundred fifty billion, six hundred sixty-four million, four hundred twenty-three thousand, three hundred sixty".