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6749713152 = 2834731373
BaseRepresentation
bin1100100100101000…
…00111001100000000
3122102101202221210000
412102110013030000
5102310411310102
63033433440000
7326156421000
oct62224071400
918371687700
106749713152
112954045436
121384570000
138374c2b10
14480608000
1529787a01c
hex192507300

6749713152 has 720 divisors, whose sum is σ = 25622766400. Its totient is φ = 1755758592.

The previous prime is 6749713127. The next prime is 6749713169. The reversal of 6749713152 is 2513179476.

6749713152 is a `hidden beast` number, since 6 + 7 + 497 + 1 + 3 + 152 = 666.

Its product of digits (317520) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 6749713098 and 6749713107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92461788 + ... + 92461860.

Almost surely, 26749713152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6749713152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811383200).

6749713152 is an abundant number, since it is smaller than the sum of its proper divisors (18873053248).

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

6749713152 is an equidigital number, since it uses as much as digits as its factorization.

6749713152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 6749713152 is about 82156.6379058929. The cubic root of 6749713152 is about 1889.8548036606.

The spelling of 6749713152 in words is "six billion, seven hundred forty-nine million, seven hundred thirteen thousand, one hundred fifty-two".