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2148569321472 = 21233741139487
BaseRepresentation
bin11111010001000000101…
…101100001000000000000
321121101211111020100212000
4133101000231201000000
5240200232221241342
64323012241104000
7311141356620630
oct37210055410000
97541744210760
102148569321472
11759226406a92
122a84a7628000
131277bc5b3292
1475dc42246c0
153ad511a744c
hex1f440b61000

2148569321472 has 832 divisors, whose sum is σ = 7521146572800. Its totient is φ = 593374740480.

The previous prime is 2148569321429. The next prime is 2148569321491. The reversal of 2148569321472 is 2741239658412.

It is a happy number.

2148569321472 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 569 + 3 + 2 + 1 + 4 + 72 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4411846413 + ... + 4411846899.

Almost surely, 22148569321472 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 2148569321472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760573286400).

2148569321472 is an abundant number, since it is smaller than the sum of its proper divisors (5372577251328).

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

2148569321472 is a wasteful number, since it uses less digits than its factorization.

2148569321472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 679 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 2148569321472 in words is "two trillion, one hundred forty-eight billion, five hundred sixty-nine million, three hundred twenty-one thousand, four hundred seventy-two".