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132767970325146 = 23213825676871807
BaseRepresentation
bin11110001100000001110011…
…101101010111001010011010
3122102002111100010111210212200
4132030001303231113022122
5114400232300400401041
61150212432532151030
736652112034235362
oct3614016355271232
9572074303453780
10132767970325146
1139338641aa3a42
1212a833a4768476
135910c730667a0
1424b000b1879a2
1510538ed9691b6
hex78c073b5729a

132767970325146 has 48 divisors (see below), whose sum is σ = 309795727847424. Its totient is φ = 40851182462112.

The previous prime is 132767970325141. The next prime is 132767970325157. The reversal of 132767970325146 is 641523079767231.

132767970325146 is a `hidden beast` number, since 1 + 3 + 27 + 6 + 7 + 97 + 0 + 3 + 2 + 514 + 6 = 666.

132767970325146 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132767970325141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15884775 + ... + 22756581.

It is an arithmetic number, because the mean of its divisors is an integer number (6454077663488).

Almost surely, 2132767970325146 is an apocalyptic number.

132767970325146 is an abundant number, since it is smaller than the sum of its proper divisors (177027757522278).

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

132767970325146 is a wasteful number, since it uses less digits than its factorization.

132767970325146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954395 (or 6954392 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 132767970325146 in words is "one hundred thirty-two trillion, seven hundred sixty-seven billion, nine hundred seventy million, three hundred twenty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 82567 165134 247701 495402 743103 1073371 1486206 2146742 3220113 6440226 6871807 9660339 13743614 19320678 20615421 41230842 61846263 89333491 123692526 178666982 268000473 536000946 804001419 1608002838 567384488569 1134768977138 1702153465707 3404306931414 5106460397121 7375998351397 10212920794242 14751996702794 22127995054191 44255990108382 66383985162573 132767970325146