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2993080483008 = 2633711172277281
BaseRepresentation
bin101011100011100001011…
…111111011110011000000
3101121010122220222101121000
4223203201133323303000
5343014312100424013
610211000250132000
7426146216222130
oct53434137736300
911533586871530
102993080483008
11a543a39a31a0
124040b4721000
131893280c6155
14a4c19d2aac0
1552ccc026973
hex2b8e17fbcc0

2993080483008 has 1344 divisors, whose sum is σ = 11737273512960. Its totient is φ = 726456729600.

The previous prime is 2993080482961. The next prime is 2993080483049. The reversal of 2993080483008 is 8003840803992.

It is a happy number.

2993080483008 is a `hidden beast` number, since 29 + 9 + 308 + 0 + 4 + 8 + 300 + 8 = 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10651531828 + ... + 10651532108.

Almost surely, 22993080483008 is an apocalyptic number.

2993080483008 is a gapful number since it is divisible by the number (28) 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 2993080483008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868636756480).

2993080483008 is an abundant number, since it is smaller than the sum of its proper divisors (8744193029952).

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

2993080483008 is a wasteful number, since it uses less digits than its factorization.

2993080483008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2993080483008 in words is "two trillion, nine hundred ninety-three billion, eighty million, four hundred eighty-three thousand, eight".