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166132135360 = 26523229241409
BaseRepresentation
bin1001101010111000111…
…1110011010111000000
3120212211000220220022101
42122232033303113000
510210214311312420
6204153044120144
715000623564602
oct2325617632700
9525730826271
10166132135360
1164502294224
1228245396054
131288781b099
1480800bb172
1544c4ec660a
hex26ae3f35c0

166132135360 has 224 divisors, whose sum is σ = 417343132800. Its totient is φ = 62869340160.

The previous prime is 166132135339. The next prime is 166132135361. The reversal of 166132135360 is 63531231661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166132135361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406190836 + ... + 406191244.

Almost surely, 2166132135360 is an apocalyptic number.

166132135360 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 166132135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208671566400).

166132135360 is an abundant number, since it is smaller than the sum of its proper divisors (251210997440).

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

166132135360 is a wasteful number, since it uses less digits than its factorization.

166132135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 166132135360 in words is "one hundred sixty-six billion, one hundred thirty-two million, one hundred thirty-five thousand, three hundred sixty".