Search a number
-
+
4509640054920 = 2335711313229823
BaseRepresentation
bin100000110011111101101…
…1111100101100010001000
3120222010011120100221110210
41001213323133211202020
51042341220323224140
613331411113041120
7643545041000040
oct101477337454210
916863146327423
104509640054920
111489589277000
12609bb93b61a0
132693461a7c00
141183a698a720
157c48d09ad80
hex419fb7e5888

4509640054920 has 1536 divisors, whose sum is σ = 19073619763200. Its totient is φ = 834144030720.

The previous prime is 4509640054903. The next prime is 4509640054993. The reversal of 4509640054920 is 294500469054.

It is a self number, because there is not a number n which added to its sum of digits gives 4509640054920.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5479513629 + ... + 5479514451.

It is an arithmetic number, because the mean of its divisors is an integer number (12417721200).

Almost surely, 24509640054920 is an apocalyptic number.

4509640054920 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 4509640054920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9536809881600).

4509640054920 is an abundant number, since it is smaller than the sum of its proper divisors (14563979708280).

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

4509640054920 is a wasteful number, since it uses less digits than its factorization.

4509640054920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 4509640054920 in words is "four trillion, five hundred nine billion, six hundred forty million, fifty-four thousand, nine hundred twenty".