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3513328896 = 2837113491
BaseRepresentation
bin1101000101101001…
…0010010100000000
3100001211221121012110
43101122102110000
524143403011041
61340342455320
7153030542250
oct32132222400
910054847173
103513328896
111543201000
12820734540
1343cb5544c
1425486b960
15158691516
hexd1692500

3513328896 has 288 divisors, whose sum is σ = 11778149376. Its totient is φ = 910694400.

The previous prime is 3513328891. The next prime is 3513328927. The reversal of 3513328896 is 6988233153.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3513328891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7155211 + ... + 7155701.

It is an arithmetic number, because the mean of its divisors is an integer number (40896352).

Almost surely, 23513328896 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 3513328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889074688).

3513328896 is an abundant number, since it is smaller than the sum of its proper divisors (8264820480).

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

3513328896 is an equidigital number, since it uses as much as digits as its factorization.

3513328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 514 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 3513328896 is about 59273.3405166269. The cubic root of 3513328896 is about 1520.2193958472.

The spelling of 3513328896 in words is "three billion, five hundred thirteen million, three hundred twenty-eight thousand, eight hundred ninety-six".