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2000010072 = 233194385987
BaseRepresentation
bin111011100110101…
…1011101101011000
312011101101001001010
41313031123231120
513044000310242
6530243053520
7100363543104
oct16715335530
95141331033
102000010072
11936a54195
124799712a0
1325b47bb18
1414d89c904
15ba8b589c
hex7735bb58

2000010072 has 32 divisors (see below), whose sum is σ = 5263185600. Its totient is φ = 631581984.

The previous prime is 2000010071. The next prime is 2000010107. The reversal of 2000010072 is 2700100002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000010071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2192538 + ... + 2193449.

It is an arithmetic number, because the mean of its divisors is an integer number (164474550).

Almost surely, 22000010072 is an apocalyptic number.

It is an amenable number.

2000010072 is an abundant number, since it is smaller than the sum of its proper divisors (3263175528).

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

2000010072 is a wasteful number, since it uses less digits than its factorization.

2000010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4386015 (or 4386011 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 2000010072 is about 44721.4721582374. The cubic root of 2000010072 is about 1259.9231648788.

Adding to 2000010072 its reverse (2700100002), we get a palindrome (4700110074).

The spelling of 2000010072 in words is "two billion, ten thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 4385987 8771974 13157961 17543948 26315922 35087896 52631844 83333753 105263688 166667506 250001259 333335012 500002518 666670024 1000005036 2000010072