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2132307099648 = 2143511181269
BaseRepresentation
bin11111000001110111011…
…010000100000000000000
321112211212010222220100000
4133001313122010000000
5234413431104142043
64311322433200000
7310024362203325
oct37016732040000
97484763886300
102132307099648
11752340850040
122a5309400000
131260ca3c870b
14752c0514b4c
153a6ed6662d3
hex1f077684000

2132307099648 has 720 divisors, whose sum is σ = 7033224219840. Its totient is φ = 640194969600.

The previous prime is 2132307099617. The next prime is 2132307099649. The reversal of 2132307099648 is 8469907032312.

2132307099648 is a `hidden beast` number, since 213 + 230 + 70 + 9 + 96 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2132307099594 and 2132307099603.

It is not an unprimeable number, because it can be changed into a prime (2132307099649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7926792058 + ... + 7926792326.

It is an arithmetic number, because the mean of its divisors is an integer number (9768366972).

Almost surely, 22132307099648 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 2132307099648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516612109920).

2132307099648 is an abundant number, since it is smaller than the sum of its proper divisors (4900917120192).

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

2132307099648 is an equidigital number, since it uses as much as digits as its factorization.

2132307099648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2132307099648 in words is "two trillion, one hundred thirty-two billion, three hundred seven million, ninety-nine thousand, six hundred forty-eight".