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10128156224 = 26374277093
BaseRepresentation
bin10010110111010111…
…10110011001000000
3222010211220122102012
421123223312121000
5131220301444344
64353001312052
7505661623154
oct113353663100
928124818365
1010128156224
11432809774a
121b67a95628
13c5540b964
146c11a3064
153e427529e
hex25baf6640

10128156224 has 28 divisors (see below), whose sum is σ = 20641255644. Its totient is φ = 4927209984.

The previous prime is 10128156223. The next prime is 10128156251. The reversal of 10128156224 is 42265182101.

10128156224 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 5903156224 + 4225000000 = 76832^2 + 65000^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (10128156223) 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, 2136179 + ... + 2140914.

Almost surely, 210128156224 is an apocalyptic number.

It is an amenable number.

10128156224 is an abundant number, since it is smaller than the sum of its proper divisors (10513099420).

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

10128156224 is an equidigital number, since it uses as much as digits as its factorization.

10128156224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277142 (or 4277132 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 10128156224 in words is "ten billion, one hundred twenty-eight million, one hundred fifty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 2368 4277093 8554186 17108372 34216744 68433488 136866976 158252441 273733952 316504882 633009764 1266019528 2532039056 5064078112 10128156224