Search a number
-
+
12326016252160 = 285131275832647
BaseRepresentation
bin1011001101011101111111…
…0100011111100100000000
31121122100121021011200020101
42303113133310133210000
53103422140130032120
642114254345452144
72411345113306462
oct263273764374400
947570537150211
1012326016252160
113a22485921446
121470a45aa1054
136b5452462430
14308822046132
151659645e390a
hexb35dfd1f900

12326016252160 has 144 divisors (see below), whose sum is σ = 32046154592256. Its totient is φ = 4515307905024.

The previous prime is 12326016252157. The next prime is 12326016252161. The reversal of 12326016252160 is 6125261062321.

It is not an unprimeable number, because it can be changed into a prime (12326016252161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803044 + ... + 5029603.

It is an arithmetic number, because the mean of its divisors is an integer number (222542740224).

Almost surely, 212326016252160 is an apocalyptic number.

12326016252160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12326016252160 is an abundant number, since it is smaller than the sum of its proper divisors (19720138340096).

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

12326016252160 is a wasteful number, since it uses less digits than its factorization.

12326016252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5832808 (or 5832794 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 12326016252160 in words is "twelve trillion, three hundred twenty-six billion, sixteen million, two hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 127 128 130 160 208 254 256 260 320 416 508 520 635 640 832 1016 1040 1270 1280 1651 1664 2032 2080 2540 3302 3328 4064 4160 5080 6604 8128 8255 8320 10160 13208 16256 16510 16640 20320 26416 32512 33020 40640 52832 66040 81280 105664 132080 162560 211328 264160 422656 528320 1056640 2113280 5832647 11665294 23330588 29163235 46661176 58326470 75824411 93322352 116652940 151648822 186644704 233305880 303297644 373289408 379122055 466611760 606595288 740746169 746578816 758244110 933223520 1213190576 1481492338 1493157632 1516488220 1866447040 2426381152 2962984676 3032976440 3703730845 3732894080 4852762304 5925969352 6065952880 7407461690 7465788160 9629700197 9705524608 11851938704 12131905760 14814923380 19259400394 19411049216 23703877408 24263811520 29629846760 38518800788 47407754816 48148500985 48527623040 59259693520 77037601576 94815509632 96297001970 97055246080 118519387040 154075203152 189631019264 192594003940 237038774080 308150406304 385188007880 474077548160 616300812608 770376015760 948155096320 1232601625216 1540752031520 2465203250432 3081504063040 6163008126080 12326016252160