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10274534032 = 247213105273
BaseRepresentation
bin10011001000110100…
…01111001010010000
3222112001100102000111
421210122033022100
5132020240042112
64415310531104
7512420045500
oct114432171220
928461312014
1010274534032
1143a2785544
121ba8b06a94
13c7983cc49
146d67c7a00
1540203b5a7
hex26468f290

10274534032 has 30 divisors (see below), whose sum is σ = 23157019158. Its totient is φ = 4403371392.

The previous prime is 10274534009. The next prime is 10274534077. The reversal of 10274534032 is 23043547201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6924902656 + 3349631376 = 83216^2 + 57876^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10274533985 and 10274534003.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6551853 + ... + 6553420.

Almost surely, 210274534032 is an apocalyptic number.

It is an amenable number.

10274534032 is an abundant number, since it is smaller than the sum of its proper divisors (12882485126).

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

10274534032 is a wasteful number, since it uses less digits than its factorization.

10274534032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105295 (or 13105282 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 10274534032 in words is "ten billion, two hundred seventy-four million, five hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 13105273 26210546 52421092 91736911 104842184 183473822 209684368 366947644 642158377 733895288 1284316754 1467790576 2568633508 5137267016 10274534032