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2095081632 = 253372174171
BaseRepresentation
bin111110011100000…
…0110100010100000
312102000021011201000
41330320012202200
513242320103012
6543520512000
7102626620500
oct17470064240
95360234630
102095081632
11985689926
124a577b600
13275088297
1415c369a00
15c3de4ddc
hex7ce068a0

2095081632 has 576 divisors, whose sum is σ = 7818612480. Its totient is φ = 541900800.

The previous prime is 2095081631. The next prime is 2095081643. The reversal of 2095081632 is 2361805902.

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 (2095081631) 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 95 ways as a sum of consecutive naturals, for example, 29508157 + ... + 29508227.

It is an arithmetic number, because the mean of its divisors is an integer number (13573980).

Almost surely, 22095081632 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 2095081632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909306240).

2095081632 is an abundant number, since it is smaller than the sum of its proper divisors (5723530848).

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

2095081632 is a wasteful number, since it uses less digits than its factorization.

2095081632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2095081632 is about 45772.0616970658. The cubic root of 2095081632 is about 1279.5786438634.

The spelling of 2095081632 in words is "two billion, ninety-five million, eighty-one thousand, six hundred thirty-two".