10206232452036 has 72 divisors (see below), whose sum is σ = 26127735674040. Its totient is φ = 3358852890624.

The previous prime is 10206232451999. The next prime is 10206232452037. The reversal of 10206232452036 is 63025423260201.

10206232452036 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 623 + 2 + 4 + 5 + 20 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1152187560000 + 9054044892036 = 1073400^2 + 3008994^2 .

It is a super-3 number, since 3×10206232452036³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10206232452037) 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 23 ways as a sum of consecutive naturals, for example, 210325 + ... + 4522908.

It is an arithmetic number, because the mean of its divisors is an integer number (362885217695).

Almost surely, 2^{10206232452036} 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 10206232452036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063867837020).

10206232452036 is an abundant number, since it is smaller than the sum of its proper divisors (15921503222004).

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

10206232452036 is a wasteful number, since it uses less digits than its factorization.

10206232452036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4734005 (or 4734000 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10206232452036 in words is "ten trillion, two hundred six billion, two hundred thirty-two million, four hundred fifty-two thousand, thirty-six".