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132218802720 = 2532591818613
BaseRepresentation
bin111101100100011011…
…0101101001000100000
3110122021120000002202100
41323020312231020200
54131241003141340
6140423535450400
712360335164644
oct1731066551040
9418246002670
10132218802720
115108a081494
122175b986a00
13c61178a654
14658403cc24
15368ca46830
hex1ec8dad220

132218802720 has 72 divisors (see below), whose sum is σ = 451196669196. Its totient is φ = 35258347008.

The previous prime is 132218802719. The next prime is 132218802721. The reversal of 132218802720 is 27208812231.

It is an interprime number because it is at equal distance from previous prime (132218802719) and next prime (132218802721).

It can be written as a sum of positive squares in 2 ways, for example, as 128728828944 + 3489973776 = 358788^2 + 59076^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132218802721) 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 11 ways as a sum of consecutive naturals, for example, 45907867 + ... + 45910746.

Almost surely, 2132218802720 is an apocalyptic number.

132218802720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132218802720 is an abundant number, since it is smaller than the sum of its proper divisors (318977866476).

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

132218802720 is a wasteful number, since it uses less digits than its factorization.

132218802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91818634 (or 91818623 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 132218802720 in words is "one hundred thirty-two billion, two hundred eighteen million, eight hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 91818613 183637226 275455839 367274452 459093065 550911678 734548904 826367517 918186130 1101823356 1377279195 1469097808 1652735034 1836372260 2203646712 2754558390 2938195616 3305470068 3672744520 4131837585 4407293424 5509116780 6610940136 7345489040 8263675170 8814586848 11018233560 13221880272 14690978080 16527350340 22036467120 26443760544 33054700680 44072934240 66109401360 132218802720