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494257374074880 = 2113351329311511013
BaseRepresentation
bin111000001100001100100001…
…1001101011001100000000000
32101211000112200012202202201000
41300120121003031121200000
51004240403100230344010
64511110411510212000
7206051626326116643
oct16030310315314000
92354015605682630
10494257374074880
11133538414447229
1247526482654000
13182a3369060cc0
148a0a282571a5a
153c21b7dd3a7c0
hex1c18643359800

494257374074880 has 3072 divisors, whose sum is σ = 2035850858496000. Its totient is φ = 112814456832000.

The previous prime is 494257374074869. The next prime is 494257374074881. The reversal of 494257374074880 is 88470473752494.

494257374074880 is a `hidden beast` number, since 4 + 9 + 4 + 2 + 5 + 73 + 74 + 0 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 = 494257374074799 and 494257374074808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494257374074881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 487914485254 + ... + 487914486266.

It is an arithmetic number, because the mean of its divisors is an integer number (662711868000).

Almost surely, 2494257374074880 is an apocalyptic number.

494257374074880 is a gapful number since it is divisible by the number (40) 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 494257374074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017925429248000).

494257374074880 is an abundant number, since it is smaller than the sum of its proper divisors (1541593484421120).

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

494257374074880 is a wasteful number, since it uses less digits than its factorization.

494257374074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1517322240, while the sum is 72.

The spelling of 494257374074880 in words is "four hundred ninety-four trillion, two hundred fifty-seven billion, three hundred seventy-four million, seventy-four thousand, eight hundred eighty".