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132768167241020 = 22561347313620653
BaseRepresentation
bin11110001100000001111111…
…011100100010010100111100
3122102002111211212001011200012
4132030001333130202110330
5114400233201303203040
61150212504244522352
736652116645056213
oct3614017734422474
9572074755034605
10132768167241020
113933873316a833
1212a8343a6b03b8
135910ca4ab105c
1424b00293a607a
151053910db4865
hex78c07f72253c

132768167241020 has 48 divisors (see below), whose sum is σ = 284200527689568. Its totient is φ = 52086117884160.

The previous prime is 132768167240923. The next prime is 132768167241023. The reversal of 132768167241020 is 20142761867231.

It is a self number, because there is not a number n which added to its sum of digits gives 132768167241020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132768167241023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156386987 + ... + 157233666.

It is an arithmetic number, because the mean of its divisors is an integer number (5920844326866).

Almost surely, 2132768167241020 is an apocalyptic number.

132768167241020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132768167241020 is an abundant number, since it is smaller than the sum of its proper divisors (151432360448548).

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

132768167241020 is a wasteful number, since it uses less digits than its factorization.

132768167241020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313621070 (or 313621068 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 132768167241020 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, one hundred sixty-seven million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 347 610 694 1220 1388 1735 3470 6940 21167 42334 84668 105835 211670 423340 313620653 627241306 1254482612 1568103265 3136206530 6272413060 19130859833 38261719666 76523439332 95654299165 108826366591 191308598330 217652733182 382617196660 435305466364 544131832955 1088263665910 2176527331820 6638408362051 13276816724102 26553633448204 33192041810255 66384083620510 132768167241020