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494524755360 = 253352316729803
BaseRepresentation
bin1110011001000111111…
…10001110110110100000
31202021110021120110121000
413030203332032312200
531100241314132420
61015103113432000
750504533031106
oct7144376166640
91667407513530
10494524755360
111807aa372129
127ba1340b600
13378309c3b4c
1419d13db1c76
15cce5103690
hex7323f8eda0

494524755360 has 384 divisors, whose sum is σ = 1816966287360. Its totient is φ = 125380113408.

The previous prime is 494524755311. The next prime is 494524755371. The reversal of 494524755360 is 63557425494.

It is a happy number.

494524755360 is a `hidden beast` number, since 4 + 9 + 4 + 5 + 24 + 7 + 553 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 494524755297 and 494524755306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16578219 + ... + 16608021.

It is an arithmetic number, because the mean of its divisors is an integer number (4731683040).

Almost surely, 2494524755360 is an apocalyptic number.

494524755360 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 494524755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908483143680).

494524755360 is an abundant number, since it is smaller than the sum of its proper divisors (1322441532000).

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

494524755360 is a wasteful number, since it uses less digits than its factorization.

494524755360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30017 (or 30003 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 494524755360 in words is "four hundred ninety-four billion, five hundred twenty-four million, seven hundred fifty-five thousand, three hundred sixty".