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2681230032 = 24331329101163
BaseRepresentation
bin1001111111010000…
…0101001011010000
320220212012121011000
42133310011023100
520442343330112
61122020022000
7123305036115
oct23764051320
96825177130
102681230032
111156536898
12629b31900
13339644160
141b614890c
1510a5c87dc
hex9fd052d0

2681230032 has 320 divisors, whose sum is σ = 8711942400. Its totient is φ = 783820800.

The previous prime is 2681230031. The next prime is 2681230039. The reversal of 2681230032 is 2300321862.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2681229978 and 2681230005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681230031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16449183 + ... + 16449345.

It is an arithmetic number, because the mean of its divisors is an integer number (27224820).

Almost surely, 22681230032 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 2681230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4355971200).

2681230032 is an abundant number, since it is smaller than the sum of its proper divisors (6030712368).

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

2681230032 is a wasteful number, since it uses less digits than its factorization.

2681230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2681230032 is about 51780.5951298360. The cubic root of 2681230032 is about 1389.2423854768.

Adding to 2681230032 its reverse (2300321862), we get a palindrome (4981551894).

The spelling of 2681230032 in words is "two billion, six hundred eighty-one million, two hundred thirty thousand, thirty-two".