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6494874140160 = 293557361499
BaseRepresentation
bin101111010000011010010…
…1010100111111000000000
3211222220101221112121100000
41132200310222213320000
51322403000234441120
621451412021200000
71240145015205000
oct136406452477000
924886357477300
106494874140160
11208450814954a
1288a900260000
13381605552ac3
141864d434c000
15b3e2eaa2990
hex5e834aa7e00

6494874140160 has 1920 divisors, whose sum is σ = 27704476800000. Its totient is φ = 1457279631360.

The previous prime is 6494874140101. The next prime is 6494874140177. The reversal of 6494874140160 is 610414784946.

6494874140160 is a `hidden beast` number, since 6 + 4 + 9 + 487 + 4 + 140 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 6494874140097 and 6494874140106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13015779591 + ... + 13015780089.

It is an arithmetic number, because the mean of its divisors is an integer number (14429415000).

Almost surely, 26494874140160 is an apocalyptic number.

6494874140160 is a gapful number since it is divisible by the number (60) 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 6494874140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852238400000).

6494874140160 is an abundant number, since it is smaller than the sum of its proper divisors (21209602659840).

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

6494874140160 is an frugal number, since it uses more digits than its factorization.

6494874140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6494874140160 in words is "six trillion, four hundred ninety-four billion, eight hundred seventy-four million, one hundred forty thousand, one hundred sixty".