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2191063104000 = 29325379179269
BaseRepresentation
bin11111111000100101100…
…010011011101000000000
321202110111221210011212100
4133320211202123220000
5241344244123312000
64354321022230400
7314204405043501
oct37704542335000
97673457704770
102191063104000
11775252001821
122b4786725400
1312b8021c8cb4
1478095aa4ba8
153bedba8ca00
hex1fe2589ba00

2191063104000 has 960 divisors, whose sum is σ = 8066215872000. Its totient is φ = 571532083200.

The previous prime is 2191063103987. The next prime is 2191063104011. The reversal of 2191063104000 is 4013601912.

2191063104000 is a `hidden beast` number, since 2 + 19 + 10 + 631 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21910631040002 (a number of 25 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 8145215866 + ... + 8145216134.

It is an arithmetic number, because the mean of its divisors is an integer number (8402308200).

Almost surely, 22191063104000 is an apocalyptic number.

2191063104000 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 2191063104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033107936000).

2191063104000 is an abundant number, since it is smaller than the sum of its proper divisors (5875152768000).

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

2191063104000 is a wasteful number, since it uses less digits than its factorization.

2191063104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 2191063104000 its reverse (4013601912), we get a palindrome (2195076705912).

The spelling of 2191063104000 in words is "two trillion, one hundred ninety-one billion, sixty-three million, one hundred four thousand".