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242017374172764 = 223716531741249859
BaseRepresentation
bin110111000001110100001111…
…100111011111011001011100
31011201220122010220222100022010
4313001310033213133121130
5223210203040242012024
62214421125151351220
7101656115101043331
oct6701641747373134
91151818126870263
10242017374172764
1170128aa0382373
1223188708b22510
13a5071a977bab8
1443a99bc22c988
151cea662221b29
hexdc1d0f9df65c

242017374172764 has 96 divisors (see below), whose sum is σ = 573869524999680. Its totient is φ = 79368493075200.

The previous prime is 242017374172703. The next prime is 242017374172793. The reversal of 242017374172764 is 467271473710242.

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, 968490867 + ... + 968740725.

It is an arithmetic number, because the mean of its divisors is an integer number (5977807552080).

Almost surely, 2242017374172764 is an apocalyptic number.

It is an amenable number.

242017374172764 is an abundant number, since it is smaller than the sum of its proper divisors (331852150826916).

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

242017374172764 is a wasteful number, since it uses less digits than its factorization.

242017374172764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252331 (or 252329 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 57.

The spelling of 242017374172764 in words is "two hundred forty-two trillion, seventeen billion, three hundred seventy-four million, one hundred seventy-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 653 852 1306 1741 1959 2612 3482 3918 5223 6964 7836 10446 20892 46363 92726 123611 139089 185452 247222 249859 278178 370833 494444 499718 556356 741666 749577 999436 1136873 1483332 1499154 2273746 2998308 3410619 4547492 6821238 13642476 17739989 35479978 53219967 70959956 80717983 106439934 161435966 163157927 212879868 242153949 322871932 326315854 435004519 484307898 489473781 652631708 870009038 968615796 978947562 1305013557 1740018076 1957895124 2610027114 5220054228 11584212817 23168425634 30885320849 34752638451 46336851268 61770641698 69505276902 92655962547 123541283396 139010553804 185311925094 284057950907 370623850188 568115901814 852173852721 1136231803628 1704347705442 3408695410884 20168114514397 40336229028794 60504343543191 80672458057588 121008687086382 242017374172764