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12325877982 = 23211178344119
BaseRepresentation
bin10110111101010110…
…11111100011011110
31011211000022110220100
423132223133203132
5200220411043412
65355030201530
7614306143215
oct133653374336
934730273810
1012325877982
115255700620
12247bab32a6
131215823332
1484d00a07c
154c2191edc
hex2deadf8de

12325877982 has 96 divisors (see below), whose sum is σ = 31220017920. Its totient is φ = 3472968960.

The previous prime is 12325877933. The next prime is 12325877987. The reversal of 12325877982 is 28977852321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12325877987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257319 + ... + 301437.

It is an arithmetic number, because the mean of its divisors is an integer number (325208520).

Almost surely, 212325877982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12325877982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15610008960).

12325877982 is an abundant number, since it is smaller than the sum of its proper divisors (18894139938).

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

12325877982 is a wasteful number, since it uses less digits than its factorization.

12325877982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44238 (or 44235 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 12325877982 in words is "twelve billion, three hundred twenty-five million, eight hundred seventy-seven thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 83 99 102 153 166 187 198 249 306 374 498 561 747 913 1122 1411 1494 1683 1826 2739 2822 3366 4233 5478 8217 8466 12699 15521 16434 25398 31042 44119 46563 88238 93126 132357 139689 264714 279378 397071 485309 750023 794142 970618 1455927 1500046 2250069 2911854 3661877 4367781 4500138 6750207 7323754 8250253 8735562 10985631 13500414 16500506 21971262 24750759 32956893 40280647 49501518 62251909 65913786 74252277 80561294 120841941 124503818 148504554 186755727 241683882 362525823 373511454 560267181 684770999 725051646 1120534362 1369541998 2054312997 4108625994 6162938991 12325877982