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2581375104 = 273271129101
BaseRepresentation
bin1001100111011100…
…1010100010000000
320122220022102221100
42121313022202000
520241313000404
61104051454400
7120653216640
oct23167124200
96586272840
102581375104
111105134360
126005b7400
13321a516b9
141a6b94520
15101951d39
hex99dca880

2581375104 has 192 divisors, whose sum is σ = 9261420480. Its totient is φ = 670464000.

The previous prime is 2581375103. The next prime is 2581375127. The reversal of 2581375104 is 4015731852.

2581375104 is a `hidden beast` number, since 2 + 5 + 8 + 137 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2581375103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74154 + ... + 103254.

It is an arithmetic number, because the mean of its divisors is an integer number (48236565).

Almost surely, 22581375104 is an apocalyptic number.

2581375104 is a gapful number since it is divisible by the number (24) 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 2581375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630710240).

2581375104 is an abundant number, since it is smaller than the sum of its proper divisors (6680045376).

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

2581375104 is a wasteful number, since it uses less digits than its factorization.

2581375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29139 (or 29124 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2581375104 is about 50807.2347604158. The cubic root of 2581375104 is about 1371.7775962856. Note that the first 3 decimals are identical.

The spelling of 2581375104 in words is "two billion, five hundred eighty-one million, three hundred seventy-five thousand, one hundred four".