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2071198944 = 253317236131
BaseRepresentation
bin111101101110011…
…1111110011100000
312100100022210211000
41323130333303200
513220211331234
6541304552000
7102216620613
oct17334776340
95310283730
102071198944
11973157471
12499782600
13270145809
1415911017a
15c1c78899
hex7b73fce0

2071198944 has 192 divisors, whose sum is σ = 6675540480. Its totient is φ = 621434880.

The previous prime is 2071198933. The next prime is 2071198957. The reversal of 2071198944 is 4498911702.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2071198944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 334759 + ... + 340889.

It is an arithmetic number, because the mean of its divisors is an integer number (34768440).

Almost surely, 22071198944 is an apocalyptic number.

2071198944 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 2071198944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337770240).

2071198944 is an abundant number, since it is smaller than the sum of its proper divisors (4604341536).

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

2071198944 is a wasteful number, since it uses less digits than its factorization.

2071198944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6190 (or 6176 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2071198944 is about 45510.4267613478. The cubic root of 2071198944 is about 1274.6979048986.

The spelling of 2071198944 in words is "two billion, seventy-one million, one hundred ninety-eight thousand, nine hundred forty-four".