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2097639936 = 2933753409
BaseRepresentation
bin111110100000111…
…0111001000000000
312102012002011001000
41331001313020000
513243443434221
6544051412000
7102660434220
oct17501671000
95365064030
102097639936
11987076a27
124a65b4000
13275772882
1415c834080
15c424ce26
hex7d077200

2097639936 has 320 divisors, whose sum is σ = 7247750400. Its totient is φ = 586579968.

The previous prime is 2097639931. The next prime is 2097639937. The reversal of 2097639936 is 6399367902.

It is a happy number.

It is a super-2 number, since 2×20976399362 = 8800186602204168192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2097639931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5128500 + ... + 5128908.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

Almost surely, 22097639936 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 2097639936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623875200).

2097639936 is an abundant number, since it is smaller than the sum of its proper divisors (5150110464).

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

2097639936 is an equidigital number, since it uses as much as digits as its factorization.

2097639936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The square root of 2097639936 is about 45799.9993013100. Note that the first 3 decimals coincide. The cubic root of 2097639936 is about 1280.0992631353.

The spelling of 2097639936 in words is "two billion, ninety-seven million, six hundred thirty-nine thousand, nine hundred thirty-six".