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242372510774060 = 225532274259236507
BaseRepresentation
bin110111000110111110111111…
…011010000111001100101100
31011210011120211000010220222112
4313012332333122013030230
5223232012400224232220
62215252221101303152
7102023556522252512
oct6706767732071454
91153146730126875
10242372510774060
117025567176a257
12232254bb564ab8
13a531825596374
1443bcc6bd604b2
151d049ea1b15c5
hexdc6fbf68732c

242372510774060 has 96 divisors (see below), whose sum is σ = 520994731864320. Its totient is φ = 94678112192768.

The previous prime is 242372510774021. The next prime is 242372510774071. The reversal of 242372510774060 is 60477015273242.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1024682327 + ... + 1024918833.

It is an arithmetic number, because the mean of its divisors is an integer number (5427028456920).

Almost surely, 2242372510774060 is an apocalyptic number.

242372510774060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242372510774060 is an abundant number, since it is smaller than the sum of its proper divisors (278622221090260).

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

242372510774060 is a wasteful number, since it uses less digits than its factorization.

242372510774060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241055 (or 241053 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 50.

The spelling of 242372510774060 in words is "two hundred forty-two trillion, three hundred seventy-two billion, five hundred ten million, seven hundred seventy-four thousand, sixty".

Divisors: 1 2 4 5 10 20 53 106 212 227 265 454 530 908 1060 1135 2270 4259 4540 8518 12031 17036 21295 24062 42590 48124 60155 85180 120310 225727 236507 240620 451454 473014 902908 946028 966793 1128635 1182535 1933586 2257270 2365070 3867172 4514540 4730140 4833965 9667930 12534871 19335860 25069742 50139484 51240029 53687089 62674355 102480058 107374178 125348710 204960116 214748356 250697420 256200145 268435445 512400290 536870890 1007283313 1024800580 1073741780 2014566626 2845415717 4029133252 5036416565 5690831434 10072833130 11381662868 14227078585 20145666260 28454157170 53386015589 56908314340 106772031178 213544062356 228653312051 266930077945 457306624102 533860155890 914613248204 1067720311780 1143266560255 2286533120510 4573066241020 12118625538703 24237251077406 48474502154812 60593127693515 121186255387030 242372510774060