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12242716704 = 25337322659
BaseRepresentation
bin10110110011011100…
…10000100000100000
31011121012211110002000
423121232100200200
5200033113413304
65342455524000
7612246242421
oct133156204040
934535743060
1012242716704
115212770299
122458089600
13120152708a
14841d5d648
154b9c16939
hex2d9b90820

12242716704 has 144 divisors (see below), whose sum is σ = 36217389600. Its totient is φ = 4023489024.

The previous prime is 12242716699. The next prime is 12242716723. The reversal of 12242716704 is 40761724221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×122427167042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4602927 + ... + 4605585.

It is an arithmetic number, because the mean of its divisors is an integer number (251509650).

Almost surely, 212242716704 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 12242716704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18108694800).

12242716704 is an abundant number, since it is smaller than the sum of its proper divisors (23974672896).

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

12242716704 is an equidigital number, since it uses as much as digits as its factorization.

12242716704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12242716704 in words is "twelve billion, two hundred forty-two million, seven hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2628 2659 3504 3942 5256 5318 5329 7008 7884 7977 10512 10636 10658 15768 15954 15987 21024 21272 21316 23931 31536 31908 31974 42544 42632 47862 47961 63072 63816 63948 71793 85088 85264 95724 95922 127632 127896 143586 143883 170528 191448 191844 194107 255264 255792 287172 287766 382896 383688 388214 511584 574344 575532 582321 765792 767376 776428 1148688 1151064 1164642 1534752 1552856 1746963 2297376 2302128 2329284 3105712 3493926 4604256 4658568 5240889 6211424 6987852 9317136 10481778 13975704 14169811 18634272 20963556 27951408 28339622 41927112 42509433 55902816 56679244 83854224 85018866 113358488 127528299 167708448 170037732 226716976 255056598 340075464 382584897 453433952 510113196 680150928 765169794 1020226392 1360301856 1530339588 2040452784 3060679176 4080905568 6121358352 12242716704