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132241660160 = 285109947833
BaseRepresentation
bin111101100101000110…
…1111001100100000000
3110122100011000101021012
41323022031321210000
54131312331111120
6140430113420052
712361033364501
oct1731215714400
9418304011235
10132241660160
11510a0a73635
122176756a628
13c61643156c
1465870acba8
15368ea5e1c5
hex1eca379900

132241660160 has 72 divisors (see below), whose sum is σ = 319666494840. Its totient is φ = 52411318272.

The previous prime is 132241660141. The next prime is 132241660169. The reversal of 132241660160 is 61066142231.

It can be written as a sum of positive squares in 4 ways, for example, as 884705536 + 131356954624 = 29744^2 + 362432^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (132241660169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334397 + ... + 613436.

Almost surely, 2132241660160 is an apocalyptic number.

132241660160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132241660160 is an abundant number, since it is smaller than the sum of its proper divisors (187424834680).

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

132241660160 is an equidigital number, since it uses as much as digits as its factorization.

132241660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947963 (or 947949 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 132241660160 in words is "one hundred thirty-two billion, two hundred forty-one million, six hundred sixty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 545 640 872 1090 1280 1744 2180 3488 4360 6976 8720 13952 17440 27904 34880 69760 139520 947833 1895666 3791332 4739165 7582664 9478330 15165328 18956660 30330656 37913320 60661312 75826640 103313797 121322624 151653280 206627594 242645248 303306560 413255188 516568985 606613120 826510376 1033137970 1213226240 1653020752 2066275940 3306041504 4132551880 6612083008 8265103760 13224166016 16530207520 26448332032 33060415040 66120830080 132241660160