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5215207680 = 28311523
BaseRepresentation
bin1001101101101100…
…11100000100000000
3111110110100000000000
410312312130010000
541140043121210
62221300000000
7243144351054
oct46666340400
914413300000
105215207680
1122369377a1
121016690000
1365160bc07
143768c1c64
15207cb6ac0
hex136d9c100

5215207680 has 432 divisors, whose sum is σ = 19552740480. Its totient is φ = 1330255872.

The previous prime is 5215207651. The next prime is 5215207687. The reversal of 5215207680 is 867025125.

It is a happy number.

5215207680 is a `hidden beast` number, since 52 + 1 + 520 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×52152076802 = 54396782291061964800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5215207687) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 226748149 + ... + 226748171.

Almost surely, 25215207680 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 5215207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9776370240).

5215207680 is an abundant number, since it is smaller than the sum of its proper divisors (14337532800).

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

5215207680 is an frugal number, since it uses more digits than its factorization.

5215207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5215207680 is about 72216.3948144741. The cubic root of 5215207680 is about 1734.1654755217.

The spelling of 5215207680 in words is "five billion, two hundred fifteen million, two hundred seven thousand, six hundred eighty".