Search a number
-
+
42674314317168 = 24328372710394159
BaseRepresentation
bin10011011001111111000110…
…10110001000110101110000
312121002121212100010101012010
421230333203112020311300
521043133443431122133
6230432150453202520
711663055201502452
oct1154774326106560
9177077770111163
1042674314317168
1112663090a078a6
124952699630440
131aa722a996a71
14a7763abd82d2
154e00cbcd9263
hex26cfe3588d70

42674314317168 has 160 divisors (see below), whose sum is σ = 110916989747200. Its totient is φ = 14137986094848.

The previous prime is 42674314317163. The next prime is 42674314317181. The reversal of 42674314317168 is 86171341347624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42674314317163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10260713073 + ... + 10260717231.

It is an arithmetic number, because the mean of its divisors is an integer number (693231185920).

Almost surely, 242674314317168 is an apocalyptic number.

42674314317168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42674314317168 is an abundant number, since it is smaller than the sum of its proper divisors (68242675430032).

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

42674314317168 is a wasteful number, since it uses less digits than its factorization.

42674314317168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6213 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The spelling of 42674314317168 in words is "forty-two trillion, six hundred seventy-four billion, three hundred fourteen million, three hundred seventeen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 283 566 727 849 1039 1132 1454 1698 2078 2181 2264 2908 3117 3396 4156 4159 4362 4528 5816 6234 6792 8312 8318 8724 11632 12468 12477 13584 16624 16636 17448 24936 24954 33272 34896 49872 49908 66544 99816 199632 205741 294037 411482 588074 617223 755353 822964 882111 1176148 1176997 1234446 1510706 1645928 1764222 2266059 2352296 2353994 2468892 3021412 3023593 3291856 3528444 3530991 4321201 4532118 4704592 4707988 4937784 6042824 6047186 7056888 7061982 8642402 9064236 9070779 9415976 9875568 12085648 12094372 12963603 14113776 14123964 17284804 18128472 18141558 18831952 24188744 25927206 28247928 34569608 36256944 36283116 48377488 51854412 56495856 69139216 72566232 103708824 145132464 207417648 213764899 427529798 641294697 855059596 855676819 1222899883 1282589394 1710119192 1711353638 2445799766 2565178788 2567030457 3141513127 3420238384 3422707276 3668699649 4891599532 5130357576 5134060914 6283026254 6845414552 7337399298 9424539381 9783199064 10260715152 10268121828 12566052508 13690829104 14674798596 18849078762 19566398128 20536243656 25132105016 29349597192 37698157524 41072487312 50264210032 58699194384 75396315048 150792630096 889048214941 1778096429882 2667144644823 3556192859764 5334289289646 7112385719528 10668578579292 14224771439056 21337157158584 42674314317168