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16486097322240 = 283357413172931
BaseRepresentation
bin1110111111100111011111…
…1110011000000100000000
32011101001111110122022102000
43233321313332120010000
54130102011403302430
655021335240424000
73321036601050000
oct357716776300400
964331443568360
1016486097322240
115286795168337
121a23148778000
1392782b240c30
1440dd07960000
151d8c94201e60
hexefe77f98100

16486097322240 has 5760 divisors, whose sum is σ = 83103061708800. Its totient is φ = 3058921635840.

The previous prime is 16486097322203. The next prime is 16486097322311. The reversal of 16486097322240 is 4222379068461.

It is a happy number.

16486097322240 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 609 + 7 + 3 + 2 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 531809591025 + ... + 531809591055.

It is an arithmetic number, because the mean of its divisors is an integer number (14427614880).

Almost surely, 216486097322240 is an apocalyptic number.

16486097322240 is a gapful number since it is divisible by the number (10) 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 16486097322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41551530854400).

16486097322240 is an abundant number, since it is smaller than the sum of its proper divisors (66616964386560).

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

16486097322240 is a wasteful number, since it uses less digits than its factorization.

16486097322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 16486097322240 in words is "sixteen trillion, four hundred eighty-six billion, ninety-seven million, three hundred twenty-two thousand, two hundred forty".