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14593472593920 = 22234511271
BaseRepresentation
bin1101010001011100111011…
…0000000000000000000000
31220200010022012022102110000
43110113032300000000000
53403044412441001140
651012052044240000
73034225566230133
oct324271660000000
956603265272400
1014593472593920
114717069912400
121778390540000
1381b20a48619c
1438648385621a
151a4922ba4a30
hexd45cec00000

14593472593920 has 1380 divisors, whose sum is σ = 58319072258832. Its totient is φ = 3487983206400.

The previous prime is 14593472593901. The next prime is 14593472593937. The reversal of 14593472593920 is 2939527439541.

14593472593920 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 34 + 7 + 2 + 593 + 9 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 205541867485 + ... + 205541867555.

Almost surely, 214593472593920 is an apocalyptic number.

14593472593920 is a gapful number since it is divisible by the number (10) 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 14593472593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29159536129416).

14593472593920 is an abundant number, since it is smaller than the sum of its proper divisors (43725599664912).

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

14593472593920 is an frugal number, since it uses more digits than its factorization.

14593472593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 14593472593920 in words is "fourteen trillion, five hundred ninety-three billion, four hundred seventy-two million, five hundred ninety-three thousand, nine hundred twenty".