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2148002991360 = 283251913972459
BaseRepresentation
bin11111010000011110111…
…101001000110100000000
321121100101000120210222200
4133100132331020310000
5240143102231210420
64322440130433200
7311121342113502
oct37203675106400
97540330523880
102148002991360
11758a65765876
122a8369a32800
1312772c175bc5
1475d6cd23d72
153ad1b5dab90
hex1f41ef48d00

2148002991360 has 432 divisors, whose sum is σ = 7492640762880. Its totient is φ = 568135434240.

The previous prime is 2148002991353. The next prime is 2148002991371. The reversal of 2148002991360 is 631992008412.

2148002991360 is a `hidden beast` number, since 2 + 1 + 480 + 0 + 29 + 91 + 3 + 60 = 666.

It is a super-2 number, since 2×21480029913602 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 873525811 + ... + 873528269.

It is an arithmetic number, because the mean of its divisors is an integer number (17344075840).

Almost surely, 22148002991360 is an apocalyptic number.

2148002991360 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 2148002991360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746320381440).

2148002991360 is an abundant number, since it is smaller than the sum of its proper divisors (5344637771520).

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

2148002991360 is a wasteful number, since it uses less digits than its factorization.

2148002991360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

Adding to 2148002991360 its reverse (631992008412), we get a palindrome (2779994999772).

The spelling of 2148002991360 in words is "two trillion, one hundred forty-eight billion, two million, nine hundred ninety-one thousand, three hundred sixty".