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2106943488 = 2113413977
BaseRepresentation
bin111110110010101…
…0110100000000000
312102211120211010000
41331211112200000
513303334142423
6545023040000
7103132503246
oct17545264000
95384524100
102106943488
11991350911
124a9740000
1327767c430
1415db76796
15c4e89843
hex7d956800

2106943488 has 240 divisors, whose sum is σ = 6784317540. Its totient is φ = 647626752.

The previous prime is 2106943469. The next prime is 2106943493. The reversal of 2106943488 is 8843496012.

It is a happy number.

2106943488 is a `hidden beast` number, since 210 + 6 + 94 + 348 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2096907264 + 10036224 = 45792^2 + 3168^2 .

It is a super-2 number, since 2×21069434882 = 8878421723251212288, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 2156056 + ... + 2157032.

Almost surely, 22106943488 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 2106943488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392158770).

2106943488 is an abundant number, since it is smaller than the sum of its proper divisors (4677374052).

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

2106943488 is an equidigital number, since it uses as much as digits as its factorization.

2106943488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2106943488 is about 45901.4540946145. The cubic root of 2106943488 is about 1281.9889910408.

The spelling of 2106943488 in words is "two billion, one hundred six million, nine hundred forty-three thousand, four hundred eighty-eight".