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132242605605 = 325114159110441
BaseRepresentation
bin111101100101001000…
…1100000011000100101
3110122100012210102011200
41323022101200120211
54131313101334410
6140430145553113
712361044413055
oct1731221403045
9418305712150
10132242605605
11510a15599a0
1221767945799
13c6166a29b6
146587277565
15368eb993c0
hex1eca460625

132242605605 has 96 divisors (see below), whose sum is σ = 260501754240. Its totient is φ = 61492992000.

The previous prime is 132242605601. The next prime is 132242605613. The reversal of 132242605605 is 506506242231.

132242605605 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 42 + 6 + 0 + 5 + 605 = 666.

It is not a de Polignac number, because 132242605605 - 22 = 132242605601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132242605605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132242605601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1142185 + ... + 1252625.

It is an arithmetic number, because the mean of its divisors is an integer number (2713559940).

Almost surely, 2132242605605 is an apocalyptic number.

132242605605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132242605605 is a deficient number, since it is larger than the sum of its proper divisors (128259148635).

132242605605 is a wasteful number, since it uses less digits than its factorization.

132242605605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110563 (or 110560 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 132242605605 its reverse (506506242231), we get a palindrome (638748847836).

The spelling of 132242605605 in words is "one hundred thirty-two billion, two hundred forty-two million, six hundred five thousand, six hundred five".

Divisors: 1 3 5 9 11 15 33 41 45 55 59 99 123 165 177 205 295 369 451 495 531 615 649 885 1353 1845 1947 2255 2419 2655 3245 4059 5841 6765 7257 9735 12095 20295 21771 26609 29205 36285 79827 108855 110441 133045 239481 331323 399135 552205 993969 1197405 1214851 1656615 3644553 4528081 4969845 6074255 6516019 10933659 13584243 18222765 19548057 22640405 32580095 40752729 49808891 54668295 58644171 67921215 71676209 97740285 149426673 203763645 215028627 249044455 267156779 293220855 358381045 448280019 645085881 747133365 801470337 1075143135 1335783895 2241400095 2404411011 2938724569 3225429405 4007351685 8816173707 12022055055 14693622845 26448521121 44080868535 132242605605