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132766020312 = 23319301286613
BaseRepresentation
bin111101110100101111…
…0001011001011011000
3110200200200200122011120
41323221132023023120
54133401100122222
6140554124325240
712410031360342
oct1735136131330
9420620618146
10132766020312
115133aa59132
12218930a3820
13c69ac65543
1465d69a6292
1536c0ada15c
hex1ee978b2d8

132766020312 has 32 divisors (see below), whose sum is σ = 331933405680. Its totient is φ = 44252892800.

The previous prime is 132766020307. The next prime is 132766020347. The reversal of 132766020312 is 213020667231.

It is a super-2 number, since 2×1327660203122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319918 + ... + 606530.

Almost surely, 2132766020312 is an apocalyptic number.

132766020312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132766020312 is an abundant number, since it is smaller than the sum of its proper divisors (199167385368).

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

132766020312 is a wasteful number, since it uses less digits than its factorization.

132766020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305923 (or 305919 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

Adding to 132766020312 its reverse (213020667231), we get a palindrome (345786687543).

The spelling of 132766020312 in words is "one hundred thirty-two billion, seven hundred sixty-six million, twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 19301 38602 57903 77204 115806 154408 231612 286613 463224 573226 859839 1146452 1719678 2292904 3439356 6878712 5531917513 11063835026 16595752539 22127670052 33191505078 44255340104 66383010156 132766020312