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132320144112512 = 272236776847349
BaseRepresentation
bin11110000101100000101111…
…001011111011101110000000
3122100111200102100111002221012
4132011200233023323232000
5114320413123343100022
61145231011322220052
736604546344235166
oct3605405713735600
9570450370432835
10132320144112512
1139185726855184
1212a10644654628
1358aa97513cc55
14249648726b236
151046e3d46ade2
hex78582f2fbb80

132320144112512 has 64 divisors (see below), whose sum is σ = 265179788496000. Its totient is φ = 65766093379584.

The previous prime is 132320144112503. The next prime is 132320144112521. The reversal of 132320144112512 is 215211441023231.

It is an interprime number because it is at equal distance from previous prime (132320144112503) and next prime (132320144112521).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1323201441125122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15900614 + ... + 22747962.

It is an arithmetic number, because the mean of its divisors is an integer number (4143434195250).

Almost surely, 2132320144112512 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 132320144112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132589894248000).

132320144112512 is an abundant number, since it is smaller than the sum of its proper divisors (132859644383488).

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

132320144112512 is an equidigital number, since it uses as much as digits as its factorization.

132320144112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848263 (or 6848251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 132320144112512 its reverse (215211441023231), we get a palindrome (347531585135743).

The spelling of 132320144112512 in words is "one hundred thirty-two trillion, three hundred twenty billion, one hundred forty-four million, one hundred twelve thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 223 446 677 892 1354 1784 2708 3568 5416 7136 10832 14272 21664 28544 43328 86656 150971 301942 603884 1207768 2415536 4831072 6847349 9662144 13694698 19324288 27389396 54778792 109557584 219115168 438230336 876460672 1526958827 3053917654 4635655273 6107835308 9271310546 12215670616 18542621092 24431341232 37085242184 48862682464 74170484368 97725364928 148340968736 195450729856 296681937472 593363874944 1033751125879 2067502251758 4135004503516 8270009007032 16540018014064 33080036028128 66160072056256 132320144112512