Search a number
-
+
376481049360960 = 26354113176994949
BaseRepresentation
bin101010110011010000101001…
…1001101100011101001000000
31211101000020101122100102011110
41111212201103031203221000
5343321231142114022320
63412413001220043320
7142204600236654315
oct12546412315435100
91741006348312143
10376481049360960
11a9a5a797583935
1236284671833540
131320c01a44219b
1468d7acc504d0c
152d7d2093865e0
hex1566853363a40

376481049360960 has 448 divisors, whose sum is σ = 1235446315488000. Its totient is φ = 97071189196800.

The previous prime is 376481049360943. The next prime is 376481049360961. The reversal of 376481049360960 is 69063940184673.

It is a junction number, because it is equal to n+sod(n) for n = 376481049360891 and 376481049360900.

It is not an unprimeable number, because it can be changed into a prime (376481049360961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3965039566 + ... + 3965134514.

It is an arithmetic number, because the mean of its divisors is an integer number (2757692668500).

Almost surely, 2376481049360960 is an apocalyptic number.

376481049360960 is a gapful number since it is divisible by the number (30) 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 376481049360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617723157744000).

376481049360960 is an abundant number, since it is smaller than the sum of its proper divisors (858965266127040).

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

376481049360960 is a wasteful number, since it uses less digits than its factorization.

376481049360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95910 (or 95900 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 66.

The spelling of 376481049360960 in words is "three hundred seventy-six trillion, four hundred eighty-one billion, forty-nine million, three hundred sixty thousand, nine hundred sixty".