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16780870681 = 28124612
BaseRepresentation
bin11111010000011011…
…11100010000011001
31121022111011112222221
433220031330100121
5233331400330211
611413052144041
71132563022141
oct175015742031
947274145887
1016780870681
117131400573
123303a68021
13177579c0a3
14b5295b921
1568333ec71
hex3e837c419

16780870681 has 9 divisors (see below), whose sum is σ = 16877411869. Its totient is φ = 16684880800.

The previous prime is 16780870651. The next prime is 16780870727. The reversal of 16780870681 is 18607808761.

The square root of 16780870681 is 129541.

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

16780870681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 259081 + 16780611600 = 509^2 + 129540^2 .

It is not a de Polignac number, because 16780870681 - 25 = 16780870649 is a prime.

It is a super-2 number, since 2×167808706812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16780870651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36400791 + ... + 36401251.

Almost surely, 216780870681 is an apocalyptic number.

16780870681 is the 129541-st square number.

16780870681 is the 64771-st centered octagonal number.

It is an amenable number.

16780870681 is a deficient number, since it is larger than the sum of its proper divisors (96541188).

16780870681 is an frugal number, since it uses more digits than its factorization.

16780870681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 52.

The spelling of 16780870681 in words is "sixteen billion, seven hundred eighty million, eight hundred seventy thousand, six hundred eighty-one".

Divisors: 1 281 461 78961 129541 212521 36401021 59718401 16780870681