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132335532112 = 24716724732861
BaseRepresentation
bin111101100111111001…
…1111111100001010000
3110122120200122120101011
41323033303333201100
54132010344011422
6140443305420304
712363253314610
oct1731763774120
9418520576334
10132335532112
1151139a59a63
1221792a9a694
13c62ca0a9b4
146595746a40
153697e03077
hex1ecfcff850

132335532112 has 80 divisors (see below), whose sum is σ = 295005618432. Its totient is φ = 56333122560.

The previous prime is 132335532107. The next prime is 132335532113. The reversal of 132335532112 is 211235533231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132335532113) 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 15 ways as a sum of consecutive naturals, for example, 46253562 + ... + 46256422.

Almost surely, 2132335532112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132335532112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147502809216).

132335532112 is an abundant number, since it is smaller than the sum of its proper divisors (162670086320).

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

132335532112 is a wasteful number, since it uses less digits than its factorization.

132335532112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5516 (or 5510 counting only the distinct ones).

The product of its digits is 16200, while the sum is 31.

The spelling of 132335532112 in words is "one hundred thirty-two billion, three hundred thirty-five million, five hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 167 334 668 1169 1336 2338 2473 2672 2861 4676 4946 5722 9352 9892 11444 17311 18704 19784 20027 22888 34622 39568 40054 45776 69244 80108 138488 160216 276976 320432 412991 477787 825982 955574 1651964 1911148 2890937 3303928 3344509 3822296 5781874 6607856 6689018 7075253 7644592 11563748 13378036 14150506 23127496 26756072 28301012 46254992 49526771 53512144 56602024 99053542 113204048 198107084 396214168 792428336 1181567251 2363134502 4726269004 8270970757 9452538008 16541941514 18905076016 33083883028 66167766056 132335532112