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268598837239968 = 2534365067547781
BaseRepresentation
bin111101000100101000001010…
…010001111110000010100000
31022020000210112210022200222210
4331010220022101332002200
5240201210404313134333
62351132334040202120
7110401424403113544
oct7504501221760240
91266023483280883
10268598837239968
11786471442a0384
1226160307169340
13b6b49b9505a21
144a48378685a24
15210bd137e3a63
hexf44a0a47e0a0

268598837239968 has 48 divisors (see below), whose sum is σ = 721468969806816. Its totient is φ = 87450784216320.

The previous prime is 268598837239961. The next prime is 268598837239987. The reversal of 268598837239968 is 869932738895862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (268598837239961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32533769763 + ... + 32533778018.

It is an arithmetic number, because the mean of its divisors is an integer number (15030603537642).

Almost surely, 2268598837239968 is an apocalyptic number.

It is an amenable number.

268598837239968 is an abundant number, since it is smaller than the sum of its proper divisors (452870132566848).

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

268598837239968 is a wasteful number, since it uses less digits than its factorization.

268598837239968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65067547837 (or 65067547829 counting only the distinct ones).

The product of its digits is 135444234240, while the sum is 93.

The spelling of 268598837239968 in words is "two hundred sixty-eight trillion, five hundred ninety-eight billion, eight hundred thirty-seven million, two hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 65067547781 130135095562 195202643343 260270191124 390405286686 520540382248 780810573372 1041080764496 1561621146744 2082161528992 2797904554583 3123242293488 5595809109166 6246484586976 8393713663749 11191618218332 16787427327498 22383236436664 33574854654996 44766472873328 67149709309992 89532945746656 134299418619984 268598837239968