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132161455728 = 24324392090633
BaseRepresentation
bin111101100010101101…
…1111100011001110000
3110122010120002120110200
41323011123330121300
54131131313040403
6140414130355200
712356040560361
oct1730533743160
9418116076420
10132161455728
115105a772885
122174472bb00
13c60292c113
14657a591b68
1536879b9ca3
hex1ec56fc670

132161455728 has 60 divisors (see below), whose sum is σ = 370711220880. Its totient is φ = 43953447168.

The previous prime is 132161455721. The next prime is 132161455739. The reversal of 132161455728 is 827554161231.

132161455728 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 614 + 5 + 5 + 7 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132161455721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982101 + ... + 1108532.

It is an arithmetic number, because the mean of its divisors is an integer number (6178520348).

Almost surely, 2132161455728 is an apocalyptic number.

132161455728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132161455728 is an abundant number, since it is smaller than the sum of its proper divisors (238549765152).

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

132161455728 is a wasteful number, since it uses less digits than its factorization.

132161455728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091086 (or 2091077 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

It can be divided in two parts, 13216 and 1455728, that added together give a square (1468944 = 12122).

The spelling of 132161455728 in words is "one hundred thirty-two billion, one hundred sixty-one million, four hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 439 878 1317 1756 2634 3512 3951 5268 7024 7902 10536 15804 21072 31608 63216 2090633 4181266 6271899 8362532 12543798 16725064 18815697 25087596 33450128 37631394 50175192 75262788 100350384 150525576 301051152 917787887 1835575774 2753363661 3671151548 5506727322 7342303096 8260090983 11013454644 14684606192 16520181966 22026909288 33040363932 44053818576 66080727864 132161455728