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2126020608 = 2153689
BaseRepresentation
bin111111010111000…
…1000000000000000
312111011111001000000
41332232020000000
513323230124413
6550544000000
7103453606545
oct17656100000
95434431000
102126020608
119a10a0828
124b4000000
1327b5cb77a
14162500bcc
15c69a7073
hex7eb88000

2126020608 has 224 divisors, whose sum is σ = 6446677950. Its totient is φ = 700710912.

The previous prime is 2126020591. The next prime is 2126020619. The reversal of 2126020608 is 8060206212.

It can be written as a sum of positive squares in only one way, i.e., 2018525184 + 107495424 = 44928^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23887828 + ... + 23887916.

Almost surely, 22126020608 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 2126020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223338975).

2126020608 is an abundant number, since it is smaller than the sum of its proper divisors (4320657342).

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

2126020608 is an frugal number, since it uses more digits than its factorization.

2126020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2126020608 is about 46108.7910056206. The cubic root of 2126020608 is about 1285.8465875283.

The spelling of 2126020608 in words is "two billion, one hundred twenty-six million, twenty thousand, six hundred eight".