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32023050000 = 24355412127
BaseRepresentation
bin11101110100101110…
…001111011100010000
310001122202000111020220
4131310232033130100
51011040400100000
622413341033040
72212363301544
oct356456173420
9101582014226
1032023050000
11126431a4487
126258555780
13303454cbc6
14179adc3a24
15c765411a0
hex774b8f710

32023050000 has 360 divisors, whose sum is σ = 106819163136. Its totient is φ = 8265600000.

The previous prime is 32023049921. The next prime is 32023050049. The reversal of 32023050000 is 5032023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 252149937 + ... + 252150063.

Almost surely, 232023050000 is an apocalyptic number.

32023050000 is a gapful number since it is divisible by the number (30) 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 32023050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53409581568).

32023050000 is an abundant number, since it is smaller than the sum of its proper divisors (74796113136).

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

32023050000 is an equidigital number, since it uses as much as digits as its factorization.

32023050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 32023050000 its reverse (5032023), we get a palindrome (32028082023).

It can be divided in two parts, 320230 and 50000, that added together give a triangular number (370230 = T860).

The spelling of 32023050000 in words is "thirty-two billion, twenty-three million, fifty thousand".