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2042466967296 = 283272973163367
BaseRepresentation
bin11101101110001100100…
…001001001111100000000
321020020222000221022101200
4131232030201021330000
5231430433020423141
64202144003301200
7300364143525240
oct35561441117400
97206860838350
102042466967296
117182293a0978
1228ba1607a800
1311a7b074b8a2
1470bda94db20
15381e1367ab6
hex1db8c849f00

2042466967296 has 864 divisors, whose sum is σ = 7120309647360. Its totient is φ = 550806552576.

The previous prime is 2042466967279. The next prime is 2042466967309. The reversal of 2042466967296 is 6927696642402.

2042466967296 is a `hidden beast` number, since 2 + 0 + 424 + 6 + 69 + 67 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 5565304905 + ... + 5565305271.

Almost surely, 22042466967296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042466967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560154823680).

2042466967296 is an abundant number, since it is smaller than the sum of its proper divisors (5077842680064).

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

2042466967296 is a wasteful number, since it uses less digits than its factorization.

2042466967296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 2042466967296 in words is "two trillion, forty-two billion, four hundred sixty-six million, nine hundred sixty-seven thousand, two hundred ninety-six".