Search a number
-
+
12513263756160 = 273523283361951
BaseRepresentation
bin1011011000010111100010…
…1001000010001110000000
31122022020220212101102221010
42312011320221002032000
53120004131010144120
642340303005400520
72431024224654036
oct266057051021600
948266825342833
1012513263756160
113a94933196652
1214a11a2869140
136c9cc375a18b
143139065c8556
1516a7732057e0
hexb6178a42380

12513263756160 has 128 divisors (see below), whose sum is σ = 41620203509760. Its totient is φ = 3191789004800.

The previous prime is 12513263756141. The next prime is 12513263756177. The reversal of 12513263756160 is 6165736231521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141636816 + ... + 141725135.

It is an arithmetic number, because the mean of its divisors is an integer number (325157839920).

Almost surely, 212513263756160 is an apocalyptic number.

12513263756160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12513263756160 is an abundant number, since it is smaller than the sum of its proper divisors (29106939753600).

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

12513263756160 is a wasteful number, since it uses less digits than its factorization.

12513263756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283361996 (or 283361984 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

Adding to 12513263756160 its reverse (6165736231521), we get a palindrome (18678999987681).

The spelling of 12513263756160 in words is "twelve trillion, five hundred thirteen billion, two hundred sixty-three million, seven hundred fifty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 276 320 345 368 384 460 480 552 640 690 736 920 960 1104 1380 1472 1840 1920 2208 2760 2944 3680 4416 5520 7360 8832 11040 14720 22080 44160 283361951 566723902 850085853 1133447804 1416809755 1700171706 2266895608 2833619510 3400343412 4250429265 4533791216 5667239020 6517324873 6800686824 8500858530 9067582432 11334478040 13034649746 13601373648 17001717060 18135164864 19551974619 22668956080 26069299492 27202747296 32586624365 34003434120 36270329728 39103949238 45337912160 52138598984 54405494592 65173248730 68006868240 78207898476 90675824320 97759873095 104277197968 108810989184 130346497460 136013736480 156415796952 181351648640 195519746190 208554395936 260692994920 272027472960 312831593904 391039492380 417108791872 521385989840 544054945920 625663187808 782078984760 834217583744 1042771979680 1251326375616 1564157969520 2085543959360 2502652751232 3128315939040 4171087918720 6256631878080 12513263756160