Search a number
-
+
2096141616 = 2432172359631
BaseRepresentation
bin111110011110000…
…1001010100110000
312102002021000201200
41330330021110300
513243103012431
6543555331200
7102641624022
oct17474112460
95362230650
102096141616
11986243248
124a5bb0b00
132753698aa
1415c564012
15c4053ee6
hex7cf09530

2096141616 has 240 divisors, whose sum is σ = 6601720320. Its totient is φ = 617379840.

The previous prime is 2096141581. The next prime is 2096141623. The reversal of 2096141616 is 6161416902.

2096141616 is a `hidden beast` number, since 20 + 9 + 6 + 14 + 1 + 616 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3321621 + ... + 3322251.

It is an arithmetic number, because the mean of its divisors is an integer number (27507168).

Almost surely, 22096141616 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 2096141616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300860160).

2096141616 is an abundant number, since it is smaller than the sum of its proper divisors (4505578704).

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

2096141616 is a wasteful number, since it uses less digits than its factorization.

2096141616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2096141616 is about 45783.6391738359. The cubic root of 2096141616 is about 1279.7944038275.

The spelling of 2096141616 in words is "two billion, ninety-six million, one hundred forty-one thousand, six hundred sixteen".