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2328105991680 = 2934573121669
BaseRepresentation
bin100001111000001101111…
…011100011111000000000
322020120020201011012010000
4201320031323203320000
5301120430113213210
64541303411040000
7330125431263210
oct41701573437000
98216221135100
102328105991680
11818387158687
12317251ba0000
1313b702241791
1480976692240
154085cd8cac0
hex21e0dee3e00

2328105991680 has 1200 divisors, whose sum is σ = 9852988163040. Its totient is φ = 514664202240.

The previous prime is 2328105991669. The next prime is 2328105991703. The reversal of 2328105991680 is 861995018232.

2328105991680 is a `hidden beast` number, since 2 + 3 + 28 + 10 + 599 + 16 + 8 + 0 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 1394909886 + ... + 1394911554.

Almost surely, 22328105991680 is an apocalyptic number.

2328105991680 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 2328105991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926494081520).

2328105991680 is an abundant number, since it is smaller than the sum of its proper divisors (7524882171360).

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

2328105991680 is an equidigital number, since it uses as much as digits as its factorization.

2328105991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 2328105991680 in words is "two trillion, three hundred twenty-eight billion, one hundred five million, nine hundred ninety-one thousand, six hundred eighty".