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2000064000 = 2935311947
BaseRepresentation
bin111011100110110…
…1000111000000000
312011101110210000110
41313031220320000
513044004022000
6530244151320
7100364156244
oct16715507000
95141423013
102000064000
11936a90760
12479998540
1325b49a52c
1414d8b4424
15ba8c6850
hex77368e00

2000064000 has 320 divisors, whose sum is σ = 7261892352. Its totient is φ = 484352000.

The previous prime is 2000063993. The next prime is 2000064023. The reversal of 2000064000 is 4600002.

2000064000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2111527 + ... + 2112473.

Almost surely, 22000064000 is an apocalyptic number.

2000064000 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 2000064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630946176).

2000064000 is an abundant number, since it is smaller than the sum of its proper divisors (5261828352).

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

2000064000 is an equidigital number, since it uses as much as digits as its factorization.

2000064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000064000 is about 44722.0750860244. The cubic root of 2000064000 is about 1259.9344889094.

Adding to 2000064000 its reverse (4600002), we get a palindrome (2004664002).

It can be divided in two parts, 20000 and 64000, that multiplied together give a 7-th power (1280000000 = 207).

The spelling of 2000064000 in words is "two billion, sixty-four thousand", and thus it is an eban number.