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3321728865 = 3357213192107
BaseRepresentation
bin1100010111111101…
…1000111101100001
322120111102022101000
43011333120331201
523300330310430
61305340102213
7145213141500
oct30577307541
98514368330
103321728865
111455036074
12788534969
1340c24c650
14237234837
15146945e60
hexc5fd8f61

3321728865 has 288 divisors, whose sum is σ = 7880664960. Its totient is φ = 1315512576.

The previous prime is 3321728843. The next prime is 3321728867. The reversal of 3321728865 is 5688271233.

It is not a de Polignac number, because 3321728865 - 221 = 3319631713 is a prime.

It is a super-2 number, since 2×33217288652 = 22067765305148376450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3321728865.

It is not an unprimeable number, because it can be changed into a prime (3321728867) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 31044142 + ... + 31044248.

It is an arithmetic number, because the mean of its divisors is an integer number (27363420).

Almost surely, 23321728865 is an apocalyptic number.

3321728865 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3321728865 is an abundant number, since it is smaller than the sum of its proper divisors (4558936095).

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

3321728865 is a wasteful number, since it uses less digits than its factorization.

3321728865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 154 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3321728865 is about 57634.4416560098. The cubic root of 3321728865 is about 1492.0660893621.

The spelling of 3321728865 in words is "three billion, three hundred twenty-one million, seven hundred twenty-eight thousand, eight hundred sixty-five".