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32010400000 = 285540013
BaseRepresentation
bin11101110011111101…
…111111000100000000
310001121212012210201101
4131303331333010000
51011024130300000
622412205544144
72212150624225
oct356375770400
9101555183641
1032010400000
1112637044337
126254275054
133031a410b7
14179944d94c
15c75392e6a
hex773f7f100

32010400000 has 108 divisors (see below), whose sum is σ = 79866583524. Its totient is φ = 12803840000.

The previous prime is 32010399989. The next prime is 32010400007. The reversal of 32010400000 is 401023.

It can be written as a sum of positive squares in 6 ways, for example, as 27259330816 + 4751069184 = 165104^2 + 68928^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 32010400000.

It is not an unprimeable number, because it can be changed into a prime (32010400007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 779994 + ... + 820006.

It is an arithmetic number, because the mean of its divisors is an integer number (739505403).

Almost surely, 232010400000 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 32010400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39933291762).

32010400000 is an abundant number, since it is smaller than the sum of its proper divisors (47856183524).

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

32010400000 is an frugal number, since it uses more digits than its factorization.

32010400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40054 (or 40020 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 32010400000 its reverse (401023), we get a palindrome (32010801023).

The spelling of 32010400000 in words is "thirty-two billion, ten million, four hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 16000 20000 25000 32000 40000 40013 50000 80000 80026 100000 160000 160052 200000 200065 320104 400000 400130 640208 800000 800260 1000325 1280416 1600520 2000650 2560832 3201040 4001300 5001625 5121664 6402080 8002600 10003250 10243328 12804160 16005200 20006500 25008125 25608320 32010400 40013000 50016250 51216640 64020800 80026000 100032500 125040625 128041600 160052000 200065000 250081250 256083200 320104000 400130000 500162500 640208000 800260000 1000325000 1280416000 1600520000 2000650000 3201040000 4001300000 6402080000 8002600000 16005200000 32010400000