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2120806144 = 2819631691
BaseRepresentation
bin111111001101000…
…1110111100000000
312110210200010002201
41332122032330000
513320411244034
6550240122544
7103361361202
oct17632167400
95423603081
102120806144
1199915a056
124b2306454
1327a4c41a2
14161944772
15c62c7014
hex7e68ef00

2120806144 has 72 divisors (see below), whose sum is σ = 4469655680. Its totient is φ = 1001548800.

The previous prime is 2120806099. The next prime is 2120806159. The reversal of 2120806144 is 4416080212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3068839 + ... + 3069529.

Almost surely, 22120806144 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 2120806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234827840).

2120806144 is an abundant number, since it is smaller than the sum of its proper divisors (2348849536).

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

2120806144 is an equidigital number, since it uses as much as digits as its factorization.

2120806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2120806144 is about 46052.2110652681. The cubic root of 2120806144 is about 1284.7944669682.

Adding to 2120806144 its reverse (4416080212), we get a palindrome (6536886356).

The spelling of 2120806144 in words is "two billion, one hundred twenty million, eight hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 631 691 1216 1262 1382 2432 2524 2764 4864 5048 5528 10096 11056 11989 13129 20192 22112 23978 26258 40384 44224 47956 52516 80768 88448 95912 105032 161536 176896 191824 210064 383648 420128 436021 767296 840256 872042 1534592 1680512 1744084 3069184 3361024 3488168 6976336 8284399 13952672 16568798 27905344 33137596 55810688 66275192 111621376 132550384 265100768 530201536 1060403072 2120806144