Search a number
-
+
32004002000 = 245316002001
BaseRepresentation
bin11101110011100101…
…100101000011010000
310001121102011202022102
4131303211211003100
51011021011031000
622411420455532
72212042346165
oct356345450320
9101542152272
1032004002000
1112633474433
1262520aa5a8
133030610bb9
14179866606c
15c74a2c3d5
hex7739650d0

32004002000 has 40 divisors (see below), whose sum is σ = 77385681672. Its totient is φ = 12801600000.

The previous prime is 32004001951. The next prime is 32004002057. The reversal of 32004002000 is 20040023.

It can be written as a sum of positive squares in 4 ways, for example, as 761318464 + 31242683536 = 27592^2 + 176756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×320040020002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7999001 + ... + 8003000.

Almost surely, 232004002000 is an apocalyptic number.

It is an amenable number.

32004002000 is an abundant number, since it is smaller than the sum of its proper divisors (45381679672).

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

32004002000 is a wasteful number, since it uses less digits than its factorization.

32004002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002024 (or 16002008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

Adding to 32004002000 its reverse (20040023), we get a palindrome (32024042023).

The spelling of 32004002000 in words is "thirty-two billion, four million, two thousand", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 16002001 32004002 64008004 80010005 128016008 160020010 256032016 320040020 400050025 640080040 800100050 1280160080 1600200100 2000250125 3200400200 4000500250 6400800400 8001000500 16002001000 32004002000