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114779341680 = 24352349142349
BaseRepresentation
bin110101011100101100…
…0011100001101110000
3101222021011120200121220
41222321120130031300
53340032002413210
6124421235345040
711202224210133
oct1527130341560
9358234520556
10114779341680
114474aa45273
121a2b3452180
13aa9271a533
1457abc4621a
152ebb9b3c70
hex1ab961c370

114779341680 has 160 divisors (see below), whose sum is σ = 372051187200. Its totient is φ = 29216732160.

The previous prime is 114779341669. The next prime is 114779341697. The reversal of 114779341680 is 86143977411.

It is a Cunningham number, because it is equal to 3387912-1.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2689146 + ... + 2731494.

It is an arithmetic number, because the mean of its divisors is an integer number (2325319920).

Almost surely, 2114779341680 is an apocalyptic number.

114779341680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114779341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186025593600).

114779341680 is an abundant number, since it is smaller than the sum of its proper divisors (257271845520).

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

114779341680 is a wasteful number, since it uses less digits than its factorization.

114779341680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42879 (or 42873 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 114779341680 in words is "one hundred fourteen billion, seven hundred seventy-nine million, three hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 491 552 690 920 982 1104 1380 1473 1840 1964 2455 2760 2946 3928 4910 5520 5892 7365 7856 9820 11293 11784 14730 19640 22586 23568 29460 33879 39280 42349 45172 56465 58920 67758 84698 90344 112930 117840 127047 135516 169395 169396 180688 211745 225860 254094 271032 338790 338792 423490 451720 508188 542064 635235 677580 677584 846980 903440 974027 1016376 1270470 1355160 1693960 1948054 2032752 2540940 2710320 2922081 3387920 3896108 4870135 5081880 5844162 7792216 9740270 10163760 11688324 14610405 15584432 19480540 20793359 23376648 29220810 38961080 41586718 46753296 58441620 62380077 77922160 83173436 103966795 116883240 124760154 166346872 207933590 233766480 249520308 311900385 332693744 415867180 478247257 499040616 623800770 831734360 956494514 998081232 1247601540 1434741771 1663468720 1912989028 2391236285 2495203080 2869483542 3825978056 4782472570 4990406160 5738967084 7173708855 7651956112 9564945140 11477934168 14347417710 19129890280 22955868336 28694835420 38259780560 57389670840 114779341680