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133286982500 = 2254726117837
BaseRepresentation
bin111110000100010000…
…1011111001101100100
3110202000222222020221102
41330020201133031210
54140432431420000
6141121534335232
712425655441500
oct1741041371544
9422028866842
10133286982500
11515880327a1
12219b965a518
13c751b799a9
146645c57300
1537016e43d5
hex1f0885f364

133286982500 has 180 divisors, whose sum is σ = 344636902764. Its totient is φ = 44946720000.

The previous prime is 133286982401. The next prime is 133286982503. The reversal of 133286982500 is 5289682331.

It can be written as a sum of positive squares in 10 ways, for example, as 113423462656 + 19863519844 = 336784^2 + 140938^2 .

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (133286982503) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7463582 + ... + 7481418.

Almost surely, 2133286982500 is an apocalyptic number.

133286982500 is a gapful number since it is divisible by the number (10) 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 133286982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172318451382).

133286982500 is an abundant number, since it is smaller than the sum of its proper divisors (211349920264).

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

133286982500 is a wasteful number, since it uses less digits than its factorization.

133286982500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17936 (or 17912 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 133286982500 in words is "one hundred thirty-three billion, two hundred eighty-six million, nine hundred eighty-two thousand, five hundred".