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6520163680 = 255172372103
BaseRepresentation
bin1100001001010000…
…11100110101100000
3121211101211122002201
412010220130311200
5101323130214210
62554553422544
7320401322362
oct60450346540
917741748081
106520163680
11284650a528
12131b70aa54
137cba90924
1445bd32d32
1528263553a
hex184a1cd60

6520163680 has 216 divisors, whose sum is σ = 16980779088. Its totient is φ = 2365120512.

The previous prime is 6520163677. The next prime is 6520163707. The reversal of 6520163680 is 863610256.

It is a super-2 number, since 2×65201636802 = 85025068827982284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63302509 + ... + 63302611.

It is an arithmetic number, because the mean of its divisors is an integer number (78614718).

Almost surely, 26520163680 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 6520163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8490389544).

6520163680 is an abundant number, since it is smaller than the sum of its proper divisors (10460615408).

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

6520163680 is a wasteful number, since it uses less digits than its factorization.

6520163680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 6520163680 is about 80747.5304885543. The cubic root of 6520163680 is about 1868.1833597353.

It can be divided in two parts, 65201 and 63680, that added together give a square (128881 = 3592).

The spelling of 6520163680 in words is "six billion, five hundred twenty million, one hundred sixty-three thousand, six hundred eighty".