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890482486320 = 2432571923404309
BaseRepresentation
bin11001111010101001110…
…01000110110000110000
310011010111020220021220200
430331110321012300300
5104042202004030240
61521025414035200
7121222662150150
oct14752471066060
93133436807820
10890482486320
1131371916aa09
121246b8948b00
1365c83a311cb
143115737a760
151826bbc7930
hexcf54e46c30

890482486320 has 480 divisors, whose sum is σ = 3754066867200. Its totient is φ = 184442075136.

The previous prime is 890482486307. The next prime is 890482486379. The reversal of 890482486320 is 23684284098.

890482486320 is a `hidden beast` number, since 8 + 90 + 48 + 2 + 486 + 32 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2000326 + ... + 2404634.

It is an arithmetic number, because the mean of its divisors is an integer number (7820972640).

Almost surely, 2890482486320 is an apocalyptic number.

890482486320 is a gapful number since it is divisible by the number (80) 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 890482486320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877033433600).

890482486320 is an abundant number, since it is smaller than the sum of its proper divisors (2863584380880).

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

890482486320 is a wasteful number, since it uses less digits than its factorization.

890482486320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404377 (or 404368 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 890482486320 in words is "eight hundred ninety billion, four hundred eighty-two million, four hundred eighty-six thousand, three hundred twenty".