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494039736852480 = 21332571331874621
BaseRepresentation
bin111000001010100111001011…
…1000001010010000000000000
32101210020201220200221100111100
41300111032113001102000000
51004223321340113234410
64510422415533214400
7206030123143213320
oct16025162701220000
92353221820840440
10494039736852480
11133464091955875
12474b0264331400
1318288993a1c670
1489dd917cd9280
153c1b1922bc8c0
hex1c15397052000

494039736852480 has 1344 divisors, whose sum is σ = 2108891859879168. Its totient is φ = 104181698396160.

The previous prime is 494039736852379. The next prime is 494039736852499. The reversal of 494039736852480 is 84258637930494.

494039736852480 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 3 + 97 + 3 + 6 + 8 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 494039736852399 and 494039736852408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106911864570 + ... + 106911869190.

It is an arithmetic number, because the mean of its divisors is an integer number (1569115967172).

Almost surely, 2494039736852480 is an apocalyptic number.

494039736852480 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 494039736852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054445929939584).

494039736852480 is an abundant number, since it is smaller than the sum of its proper divisors (1614852123026688).

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

494039736852480 is a wasteful number, since it uses less digits than its factorization.

494039736852480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7838 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 494039736852480 in words is "four hundred ninety-four trillion, thirty-nine billion, seven hundred thirty-six million, eight hundred fifty-two thousand, four hundred eighty".