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3321751680 = 27355133153
BaseRepresentation
bin1100010111111101…
…1110100010000000
322120111110110200000
43011333132202000
523300332023210
61305340400000
7145213265142
oct30577364200
98514413600
103321751680
111455051225
12788546000
1340c259b50
1423723cc92
1514694cac0
hexc5fde880

3321751680 has 768 divisors, whose sum is σ = 13473008640. Its totient is φ = 776355840.

The previous prime is 3321751679. The next prime is 3321751687. The reversal of 3321751680 is 861571233.

3321751680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33217516802 = 22068068447165644800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321751687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62674534 + ... + 62674586.

It is an arithmetic number, because the mean of its divisors is an integer number (17542980).

Almost surely, 23321751680 is an apocalyptic number.

3321751680 is a gapful number since it is divisible by the number (30) 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 3321751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736504320).

3321751680 is an abundant number, since it is smaller than the sum of its proper divisors (10151256960).

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

3321751680 is a wasteful number, since it uses less digits than its factorization.

3321751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3321751680 is about 57634.6395841945. The cubic root of 3321751680 is about 1492.0695053955.

The spelling of 3321751680 in words is "three billion, three hundred twenty-one million, seven hundred fifty-one thousand, six hundred eighty".