Search a number
-
+
12757292370 = 233547249231
BaseRepresentation
bin10111110000110010…
…01101010101010010
31012221002002121012000
423320121031111102
5202111331323440
65505521014430
7631065124134
oct137031152522
935832077160
1012757292370
115457182639
122580484416
131284013614
1489042b054
154e9ead730
hex2f864d552

12757292370 has 32 divisors (see below), whose sum is σ = 34019447040. Its totient is φ = 3401944560.

The previous prime is 12757292369. The next prime is 12757292399. The reversal of 12757292370 is 7329275721.

12757292370 is a `hidden beast` number, since 1 + 2 + 7 + 572 + 9 + 2 + 3 + 70 = 666.

12757292370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127572923702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23624346 + ... + 23624885.

It is an arithmetic number, because the mean of its divisors is an integer number (1063107720).

Almost surely, 212757292370 is an apocalyptic number.

12757292370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12757292370 is an abundant number, since it is smaller than the sum of its proper divisors (21262154670).

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

12757292370 is a wasteful number, since it uses less digits than its factorization.

12757292370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47249247 (or 47249241 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 12757292370 in words is "twelve billion, seven hundred fifty-seven million, two hundred ninety-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 47249231 94498462 141747693 236246155 283495386 425243079 472492310 708738465 850486158 1275729237 1417476930 2126215395 2551458474 4252430790 6378646185 12757292370