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132522405162 = 237371371913259
BaseRepresentation
bin111101101101011110…
…0110110110100101010
3110200001201021201000020
41323122330312310222
54132401213431122
6140514023021310
712401012600160
oct1733274666452
9420051251006
10132522405162
11512254964a4
122182559a836
13c65c64a074
1465b24ad230
1536a9517c5c
hex1edaf36d2a

132522405162 has 128 divisors (see below), whose sum is σ = 315103150080. Its totient is φ = 36368663040.

The previous prime is 132522405143. The next prime is 132522405163. The reversal of 132522405162 is 261504225231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132522405163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40661889 + ... + 40665147.

It is an arithmetic number, because the mean of its divisors is an integer number (2461743360).

Almost surely, 2132522405162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132522405162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157551575040).

132522405162 is an abundant number, since it is smaller than the sum of its proper divisors (182580744918).

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

132522405162 is a wasteful number, since it uses less digits than its factorization.

132522405162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636.

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 132522405162 in words is "one hundred thirty-two billion, five hundred twenty-two million, four hundred five thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 137 191 222 259 274 382 411 518 573 777 822 959 1146 1337 1554 1918 2674 2877 3259 4011 5069 5754 6518 7067 8022 9777 10138 14134 15207 19554 21201 22813 26167 30414 35483 42402 45626 49469 52334 68439 70966 78501 98938 106449 120583 136878 148407 157002 183169 212898 241166 296814 361749 366338 446483 549507 622469 723498 844081 892966 968179 1099014 1244938 1339449 1688162 1867407 1936358 2532243 2678898 2904537 3125381 3734814 4357283 5064486 5809074 6250762 6777253 8714566 9376143 13071849 13554506 16519871 18752286 20331759 23031353 26143698 33039742 40663518 46062706 49559613 69094059 85278253 99119226 115639097 138188118 161219471 170556506 231278194 255834759 322438942 346917291 483658413 511669518 596947771 693834582 967316826 1193895542 1790843313 3155295361 3581686626 6310590722 9465886083 18931772166 22087067527 44174135054 66261202581 132522405162