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8055780516 = 22327221372
BaseRepresentation
bin1111000000010100…
…10111010010100100
3202210102101001101100
413200022113102210
5112444234434031
63411211200100
7403426001400
oct74012272244
922712331340
108055780516
113464307153
121689a46030
139b4c73644
14565c68100
15322367de6
hex1e02974a4

8055780516 has 81 divisors (see below), whose sum is σ = 23698920609. Its totient is φ = 2300574528.

The previous prime is 8055780511. The next prime is 8055780529. The reversal of 8055780516 is 6150875508.

The square root of 8055780516 is 89754.

It is a perfect power (a square), and thus also a powerful number.

8055780516 is a `hidden beast` number, since 8 + 0 + 5 + 57 + 80 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 365192100 + 7690588416 = 19110^2 + 87696^2 .

It is not an unprimeable number, because it can be changed into a prime (8055780511) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3768600 + ... + 3770736.

Almost surely, 28055780516 is an apocalyptic number.

8055780516 is the 89754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8055780516

8055780516 is an abundant number, since it is smaller than the sum of its proper divisors (15643140093).

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

8055780516 is a wasteful number, since it uses less digits than its factorization.

8055780516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The cubic root of 8055780516 is about 2004.6376142882.

The spelling of 8055780516 in words is "eight billion, fifty-five million, seven hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2137 4274 6411 8548 12822 14959 19233 25644 29918 38466 44877 59836 76932 89754 104713 134631 179508 209426 269262 314139 418852 538524 628278 942417 1256556 1884834 3769668 4566769 9133538 13700307 18267076 27400614 31967383 41100921 54801228 63934766 82201842 95902149 127869532 164403684 191804298 223771681 287706447 383608596 447543362 575412894 671315043 895086724 1150825788 1342630086 2013945129 2685260172 4027890258 8055780516