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10221770728 = 231398286257
BaseRepresentation
bin10011000010100001…
…11101011111101000
3222101101001202101001
421201100331133220
5131413233130403
64410144004344
7511206421561
oct114120753750
928341052331
1010221770728
114375a17704
121b933006b4
13c6b927b60
146cd7b1168
153ec5b7c1d
hex26143d7e8

10221770728 has 16 divisors (see below), whose sum is σ = 20640114180. Its totient is φ = 4717740288.

The previous prime is 10221770723. The next prime is 10221770743. The reversal of 10221770728 is 82707712201.

10221770728 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 2 ways, for example, as 10216762084 + 5008644 = 101078^2 + 2238^2 .

It is not an unprimeable number, because it can be changed into a prime (10221770723) 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 3 ways as a sum of consecutive naturals, for example, 49143025 + ... + 49143232.

Almost surely, 210221770728 is an apocalyptic number.

It is an amenable number.

10221770728 is an abundant number, since it is smaller than the sum of its proper divisors (10418343452).

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

10221770728 is a wasteful number, since it uses less digits than its factorization.

10221770728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98286276 (or 98286272 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 37.

The spelling of 10221770728 in words is "ten billion, two hundred twenty-one million, seven hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 98286257 196572514 393145028 786290056 1277721341 2555442682 5110885364 10221770728