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238025503668942 = 23311947094231027
BaseRepresentation
bin110110000111101110100001…
…100101111111101011001110
31011012210000102121100211122000
4312013232201211333223032
5222144302212414401232
62202123223512533130
7101064526605442233
oct6607564145775316
91135700377324560
10238025503668942
116992a05a566590
1222842b2b6b11a6
13a2a7929c96842
1442ac6d286578a
151c7b8c9ce127c
hexd87ba197face

238025503668942 has 64 divisors (see below), whose sum is σ = 577037753107200. Its totient is φ = 72128161873440.

The previous prime is 238025503668913. The next prime is 238025503668949. The reversal of 238025503668942 is 249866305520832.

238025503668942 is a `hidden beast` number, since 2 + 3 + 8 + 0 + 2 + 5 + 503 + 6 + 6 + 89 + 42 = 666.

It is a super-2 number, since 2×2380255036689422 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 238025503668942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238025503668949) by changing a digit.

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, 54141633 + ... + 58372659.

It is an arithmetic number, because the mean of its divisors is an integer number (9016214892300).

Almost surely, 2238025503668942 is an apocalyptic number.

238025503668942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

238025503668942 is an abundant number, since it is smaller than the sum of its proper divisors (339012249438258).

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

238025503668942 is a wasteful number, since it uses less digits than its factorization.

238025503668942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325758 (or 4325752 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 238025503668942 in words is "two hundred thirty-eight trillion, twenty-five billion, five hundred three million, six hundred sixty-eight thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 94709 189418 284127 568254 852381 1041799 1704762 2083598 2557143 3125397 4231027 5114286 6250794 8462054 9376191 12693081 18752382 25386162 28128573 38079243 46541297 56257146 76158486 93082594 114237729 139623891 228475458 279247782 418871673 837743346 1256615019 2513230038 400716336143 801432672286 1202149008429 2404298016858 3606447025287 4407879697573 7212894050574 8815759395146 10819341075861 13223639092719 21638682151722 26447278185438 39670917278157 79341834556314 119012751834471 238025503668942