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2095537920 = 2835733743
BaseRepresentation
bin111110011100111…
…0101111100000000
312102001010100121120
41330321311330000
513242424203140
6543534352240
7102633531000
oct17471657400
95361110546
102095537920
11985970723
124a595b680
132751b7b88
1415c448000
15c3e851d0
hex7ce75f00

2095537920 has 576 divisors, whose sum is σ = 8202163200. Its totient is φ = 455196672.

The previous prime is 2095537919. The next prime is 2095537979. The reversal of 2095537920 is 297355902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48733419 + ... + 48733461.

Almost surely, 22095537920 is an apocalyptic number.

2095537920 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 2095537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101081600).

2095537920 is an abundant number, since it is smaller than the sum of its proper divisors (6106625280).

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

2095537920 is an equidigital number, since it uses as much as digits as its factorization.

2095537920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 2095537920 is about 45777.0457762403. The cubic root of 2095537920 is about 1279.6715302996.

The spelling of 2095537920 in words is "two billion, ninety-five million, five hundred thirty-seven thousand, nine hundred twenty".