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6473504794680 = 23345711151239719
BaseRepresentation
bin101111000110011101011…
…1101000010100000111000
3211220212020200100101020000
41132030322331002200320
51322030214211412210
621433515334033000
71235460324601140
oct136147275024070
924825220311200
106473504794680
112076441768a50
128867377a8760
1337c5ab270591
14185468253920
15b35cd9e9ac0
hex5e33af42838

6473504794680 has 1280 divisors, whose sum is σ = 27459108864000. Its totient is φ = 1328793984000.

The previous prime is 6473504794667. The next prime is 6473504794697. The reversal of 6473504794680 is 864974053746.

It is a happy number.

6473504794680 is a `hidden beast` number, since 6 + 4 + 7 + 3 + 504 + 7 + 9 + 46 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9003483361 + ... + 9003484079.

It is an arithmetic number, because the mean of its divisors is an integer number (21452428800).

Almost surely, 26473504794680 is an apocalyptic number.

6473504794680 is a gapful number since it is divisible by the number (60) 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 6473504794680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729554432000).

6473504794680 is an abundant number, since it is smaller than the sum of its proper divisors (20985604069320).

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

6473504794680 is a wasteful number, since it uses less digits than its factorization.

6473504794680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 6473504794680 in words is "six trillion, four hundred seventy-three billion, five hundred four million, seven hundred ninety-four thousand, six hundred eighty".