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12038039524 = 22721724612
BaseRepresentation
bin10110011011000010…
…11110011111100100
31011001221200202202201
423031201132133210
5144123214231044
65310304544244
7604212435100
oct131541363744
934057622681
1012038039524
1151181832a5
1223bb622084
13119acc2c14
14822ac0900
154a6c867d4
hex2cd85e7e4

12038039524 has 81 divisors (see below), whose sum is σ = 26088926619. Its totient is φ = 4845146880.

The previous prime is 12038039521. The next prime is 12038039549. The reversal of 12038039524 is 42593083021.

The square root of 12038039524 is 109718.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 150062500 + 11887977024 = 12250^2 + 109032^2 .

It is a super-2 number, since 2×120380395242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12038039521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26112654 + ... + 26113114.

Almost surely, 212038039524 is an apocalyptic number.

12038039524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12038039524 is the 109718-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12038039524

12038039524 is an abundant number, since it is smaller than the sum of its proper divisors (14050887095).

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

12038039524 is an equidigital number, since it uses as much as digits as its factorization.

12038039524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 12038039524 in words is "twelve billion, thirty-eight million, thirty-nine thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 461 476 578 833 922 1156 1666 1844 2023 3227 3332 4046 6454 7837 8092 12908 14161 15674 22589 28322 31348 45178 54859 56644 90356 109718 133229 212521 219436 266458 384013 425042 532916 768026 850084 932603 1487647 1536052 1865206 2975294 3612857 3730412 5950588 6528221 7225714 10413529 13056442 14451428 20827058 25289999 26112884 41654116 50579998 61418569 101159996 122837138 177029993 245674276 354059986 429929983 708119972 859859966 1719719932 3009509881 6019019762 12038039524