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493275327104040 = 2335131991588955441
BaseRepresentation
bin111000000101000011001110…
…0101001100000010000101000
32101200112122211200010201100220
41300022012130221200100220
51004123310332214312130
64505035320143330040
7205620652306442535
oct16012063451402050
92350478750121326
10493275327104040
11133199989541918
12473a8090bb0920
131823188235b350
1489b4920609d8c
153c063537a0410
hex1c0a19ca60428

493275327104040 has 128 divisors (see below), whose sum is σ = 1601667085536000. Its totient is φ = 120811460014080.

The previous prime is 493275327104039. The next prime is 493275327104099. The reversal of 493275327104040 is 40401723572394.

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 31 ways as a sum of consecutive naturals, for example, 794167281 + ... + 794788160.

It is an arithmetic number, because the mean of its divisors is an integer number (12513024105750).

Almost surely, 2493275327104040 is an apocalyptic number.

493275327104040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493275327104040 is an abundant number, since it is smaller than the sum of its proper divisors (1108391758431960).

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

493275327104040 is a wasteful number, since it uses less digits than its factorization.

493275327104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588955667 (or 1588955663 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 493275327104040 in words is "four hundred ninety-three trillion, two hundred seventy-five billion, three hundred twenty-seven million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 199 260 312 390 398 520 597 780 796 995 1194 1560 1592 1990 2388 2587 2985 3980 4776 5174 5970 7761 7960 10348 11940 12935 15522 20696 23880 25870 31044 38805 51740 62088 77610 103480 155220 310440 1588955441 3177910882 4766866323 6355821764 7944777205 9533732646 12711643528 15889554410 19067465292 20656420733 23834331615 31779108820 38134930584 41312841466 47668663230 61969262199 63558217640 82625682932 95337326460 103282103665 123938524398 165251365864 190674652920 206564207330 247877048796 309846310995 316202132759 413128414660 495754097592 619692621990 632404265518 826256829320 948606398277 1239385243980 1264808531036 1581010663795 1897212796554 2478770487960 2529617062072 3162021327590 3794425593108 4110627725867 4743031991385 6324042655180 7588851186216 8221255451734 9486063982770 12331883177601 12648085310360 16442510903468 18972127965540 20553138629335 24663766355202 32885021806936 37944255931080 41106277258670 49327532710404 61659415888005 82212554517340 98655065420808 123318831776010 164425109034680 246637663552020 493275327104040