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2095108416 = 26341989239
BaseRepresentation
bin111110011100000…
…1101000101000000
312102000022112110000
41330320031011000
513242321432131
6543521240000
7102630061542
oct17470150500
95360275400
102095108416
119856a7a65
124a5793000
1327509752b
1415c375692
15c3decce6
hex7ce0d140

2095108416 has 280 divisors, whose sum is σ = 6638544000. Its totient is φ = 651442176.

The previous prime is 2095108363. The next prime is 2095108423. The reversal of 2095108416 is 6148015902.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8766025 + ... + 8766263.

Almost surely, 22095108416 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 2095108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319272000).

2095108416 is an abundant number, since it is smaller than the sum of its proper divisors (4543435584).

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

2095108416 is a wasteful number, since it uses less digits than its factorization.

2095108416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2095108416 is about 45772.3542763533. The cubic root of 2095108416 is about 1279.5840966483.

The spelling of 2095108416 in words is "two billion, ninety-five million, one hundred eight thousand, four hundred sixteen".