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2987097384960 = 2113351317193183
BaseRepresentation
bin101011011101111100111…
…000001110100000000000
3101120120012221201112001000
4223131330320032200000
5342420033412304320
610204130435412000
7425545025560443
oct53357470164000
911516187645030
102987097384960
11a51903667067
12402b04a54000
131888b3697650
14a480d47b65a
1552a7bb2bc90
hex2b77ce0e800

2987097384960 has 3072 divisors, whose sum is σ = 13314502656000. Its totient is φ = 626817761280.

The previous prime is 2987097384917. The next prime is 2987097384961. The reversal of 2987097384960 is 694837907892.

2987097384960 is a `hidden beast` number, since 2 + 9 + 8 + 70 + 97 + 384 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-4 number, since 4×29870973849604 (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2987097384961) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 35989125079 + ... + 35989125161.

It is an arithmetic number, because the mean of its divisors is an integer number (4334148000).

Almost surely, 22987097384960 is an apocalyptic number.

2987097384960 is a gapful number since it is divisible by the number (20) 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 2987097384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657251328000).

2987097384960 is an abundant number, since it is smaller than the sum of its proper divisors (10327405271040).

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

2987097384960 is a wasteful number, since it uses less digits than its factorization.

2987097384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 2987097384960 in words is "two trillion, nine hundred eighty-seven billion, ninety-seven million, three hundred eighty-four thousand, nine hundred sixty".