Search a number
-
+
494027857589760 = 29345132367118927
BaseRepresentation
bin111000001010100001101001…
…0111101011111011000000000
32101210012121020211000021120000
41300111003102331133120000
51004223123023020333020
64510413133055320000
7206026222566151314
oct16025032275373000
92353177224007500
10494027857589760
1113345a04636997a
12474a9aa9b20000
131828781c8ac520
1489dd10c349b44
153c1abe944b090
hex1c150d2f5f600

494027857589760 has 1600 divisors, whose sum is σ = 2018108724774912. Its totient is φ = 114582525640704.

The previous prime is 494027857589743. The next prime is 494027857589821. The reversal of 494027857589760 is 67985758720494.

494027857589760 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 27 + 8 + 5 + 7 + 589 + 7 + 6 + 0 = 666.

It is a super-3 number, since 3×4940278575897603 (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 494027857589760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4153983417 + ... + 4154102343.

Almost surely, 2494027857589760 is an apocalyptic number.

494027857589760 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 494027857589760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009054362387456).

494027857589760 is an abundant number, since it is smaller than the sum of its proper divisors (1524080867185152).

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

494027857589760 is a wasteful number, since it uses less digits than its factorization.

494027857589760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119065 (or 119040 counting only the distinct ones).

The product of its (nonzero) digits is 8534937600, while the sum is 81.

The spelling of 494027857589760 in words is "four hundred ninety-four trillion, twenty-seven billion, eight hundred fifty-seven million, five hundred eighty-nine thousand, seven hundred sixty".