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2064911940 = 2235572132329
BaseRepresentation
bin111101100010100…
…0000111001000100
312022220111101200000
41323011000321010
513212104140230
6540522121300
7102112314300
oct17305007104
95286441600
102064911940
1196a6529a3
12497650230
1326ba53cb0
14158354d00
15c1435b60
hex7b140e44

2064911940 has 864 divisors, whose sum is σ = 8783873280. Its totient is φ = 402361344.

The previous prime is 2064911929. The next prime is 2064911983. The reversal of 2064911940 is 491194602.

It is a happy number.

2064911940 is a `hidden beast` number, since 2 + 0 + 649 + 1 + 1 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×20649119402 = 8527722639909127200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2064911895 and 2064911904.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 71203846 + ... + 71203874.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 22064911940 is an apocalyptic number.

2064911940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064911940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391936640).

2064911940 is an abundant number, since it is smaller than the sum of its proper divisors (6718961340).

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

2064911940 is a wasteful number, since it uses less digits than its factorization.

2064911940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

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

The square root of 2064911940 is about 45441.3021380330. The cubic root of 2064911940 is about 1273.4068405676.

The spelling of 2064911940 in words is "two billion, sixty-four million, nine hundred eleven thousand, nine hundred forty".