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12162411632 = 2471930718617
BaseRepresentation
bin10110101001110111…
…11010110001110000
31011101121201112020002
423110323322301300
5144402034133012
65330510405132
7610252536020
oct132473726160
934347645202
1012162411632
115181400968
1224352007a8
1311ba9bab97
14835417a80
154b2b527c2
hex2d4efac70

12162411632 has 80 divisors (see below), whose sum is σ = 28442346240. Its totient is φ = 4921772544.

The previous prime is 12162411619. The next prime is 12162411659. The reversal of 12162411632 is 23611426121.

It is a junction number, because it is equal to n+sod(n) for n = 12162411595 and 12162411604.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 643988 + ... + 662604.

It is an arithmetic number, because the mean of its divisors is an integer number (355529328).

Almost surely, 212162411632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12162411632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221173120).

12162411632 is an abundant number, since it is smaller than the sum of its proper divisors (16279934608).

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

12162411632 is a wasteful number, since it uses less digits than its factorization.

12162411632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18958 (or 18952 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

Adding to 12162411632 its reverse (23611426121), we get a palindrome (35773837753).

The spelling of 12162411632 in words is "twelve billion, one hundred sixty-two million, four hundred eleven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 307 532 614 1064 1228 2128 2149 2456 4298 4912 5833 8596 11666 17192 18617 23332 34384 37234 40831 46664 74468 81662 93328 130319 148936 163324 260638 297872 326648 353723 521276 653296 707446 1042552 1414892 2085104 2476061 2829784 4952122 5659568 5715419 9904244 11430838 19808488 22861676 39616976 40007933 45723352 80015866 91446704 108592961 160031732 217185922 320063464 434371844 640126928 760150727 868743688 1520301454 1737487376 3040602908 6081205816 12162411632