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132151025152206 = 2321937101149693961
BaseRepresentation
bin11110000011000011001110…
…111010010011000011001110
3122022220111220011022210001200
4132003003032322103003032
5114310130244414332311
61145021202020050330
736556411411626654
oct3603031672230316
9568814804283050
10132151025152206
113911aa3158a195
12129a3906b339a6
135897a328a1438
14248c202616dd4
151042841154556
hex7830cee930ce

132151025152206 has 192 divisors, whose sum is σ = 314706215304000. Its totient is φ = 39932123904000.

The previous prime is 132151025152183. The next prime is 132151025152253. The reversal of 132151025152206 is 602251520151231.

132151025152206 is a `hidden beast` number, since 1 + 3 + 2 + 15 + 102 + 515 + 2 + 20 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 190083066 + ... + 190777026.

It is an arithmetic number, because the mean of its divisors is an integer number (1639094871375).

Almost surely, 2132151025152206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132151025152206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157353107652000).

132151025152206 is an abundant number, since it is smaller than the sum of its proper divisors (182555190151794).

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

132151025152206 is a wasteful number, since it uses less digits than its factorization.

132151025152206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694275 (or 694272 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

It can be divided in two parts, 132151025 and 152206, that added together give a palindrome (132303231).

The spelling of 132151025152206 in words is "one hundred thirty-two trillion, one hundred fifty-one billion, twenty-five million, one hundred fifty-two thousand, two hundred six".