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16653315420 = 2233573471913
BaseRepresentation
bin11111000001001110…
…10110110101011100
31120222121011002002000
433200213112311130
5233101222043140
611352254202300
71126453563000
oct174047266534
946877132060
1016653315420
1170763a93a5
1232891b3390
13175522b2c1
14b3da36700
15677045a30
hex3e09d6d5c

16653315420 has 384 divisors, whose sum is σ = 61737984000. Its totient is φ = 3723535872.

The previous prime is 16653315409. The next prime is 16653315451. The reversal of 16653315420 is 2451335661.

16653315420 is a `hidden beast` number, since 1 + 66 + 53 + 3 + 1 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 8704384 + ... + 8706296.

It is an arithmetic number, because the mean of its divisors is an integer number (160776000).

Almost surely, 216653315420 is an apocalyptic number.

16653315420 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 16653315420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30868992000).

16653315420 is an abundant number, since it is smaller than the sum of its proper divisors (45084668580).

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

16653315420 is a wasteful number, since it uses less digits than its factorization.

16653315420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 16653315420 in words is "sixteen billion, six hundred fifty-three million, three hundred fifteen thousand, four hundred twenty".