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10190385288 = 2332922115349
BaseRepresentation
bin10010111110110010…
…01111000010001000
3222022012000012122100
421133121033002020
5131332214312123
64403103153400
7510345563046
oct113731170210
928265005570
1010190385288
11435a230326
121b848a5860
13c652893a5
146c9561396
153e9968643
hex25f64f088

10190385288 has 48 divisors (see below), whose sum is σ = 27603751500. Its totient is φ = 3396205440.

The previous prime is 10190385281. The next prime is 10190385299. The reversal of 10190385288 is 88258309101.

It is a happy number.

10190385288 is a `hidden beast` number, since 1 + 0 + 1 + 90 + 38 + 528 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9928528164 + 261857124 = 99642^2 + 16182^2 .

It is not an unprimeable number, because it can be changed into a prime (10190385281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 656238 + ... + 671586.

Almost surely, 210190385288 is an apocalyptic number.

10190385288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10190385288 is an abundant number, since it is smaller than the sum of its proper divisors (17413366212).

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

10190385288 is a wasteful number, since it uses less digits than its factorization.

10190385288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24582 (or 24575 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 10190385288 in words is "ten billion, one hundred ninety million, three hundred eighty-five thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 9221 15349 18442 27663 30698 36884 46047 55326 61396 73768 82989 92094 110652 122792 138141 165978 184188 221304 276282 331956 368376 552564 663912 1105128 141533129 283066258 424599387 566132516 849198774 1132265032 1273798161 1698397548 2547596322 3396795096 5095192644 10190385288