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494953642533168 = 24327131931617314401
BaseRepresentation
bin111000010001010000110000…
…0000010110010000100110000
32101220111002212100201012112100
41300202201200002302010300
51004333310024442030133
64512402321523500400
7206153135445300060
oct16042414002620460
92356432770635470
10494953642533168
1113378672a882355
12476193b9527700
1318323c0b3b26a0
148a31c540453a0
153c34d304eae13
hex1c228600b2130

494953642533168 has 1920 divisors, whose sum is σ = 1908750916567040. Its totient is φ = 116095057920000.

The previous prime is 494953642533167. The next prime is 494953642533191. The reversal of 494953642533168 is 861335246359494.

494953642533168 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 5 + 3 + 6 + 425 + 33 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 494953642533096 and 494953642533105.

It is not an unprimeable number, because it can be changed into a prime (494953642533167) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34369386768 + ... + 34369401168.

Almost surely, 2494953642533168 is an apocalyptic number.

494953642533168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494953642533168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954375458283520).

494953642533168 is an abundant number, since it is smaller than the sum of its proper divisors (1413797274033872).

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

494953642533168 is a wasteful number, since it uses less digits than its factorization.

494953642533168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619 (or 14610 counting only the distinct ones).

The product of its digits is 2015539200, while the sum is 72.

The spelling of 494953642533168 in words is "four hundred ninety-four trillion, nine hundred fifty-three billion, six hundred forty-two million, five hundred thirty-three thousand, one hundred sixty-eight".