Search a number
-
+
132713235312 = 24372383165749
BaseRepresentation
bin111101110011001010…
…0110100001101110000
3110200120000100212202120
41323212110310031300
54133244042012222
6140545001114240
712405520613250
oct1734624641560
9420500325676
10132713235312
1151313185a69
1221879488980
13c690043608
1465cd985960
1536bb16015c
hex1ee6534370

132713235312 has 80 divisors (see below), whose sum is σ = 391986816000. Its totient is φ = 37901926656.

The previous prime is 132713235307. The next prime is 132713235313. The reversal of 132713235312 is 213532317231.

It is a super-2 number, since 2×1327132353122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132713235313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717814 + ... + 883562.

It is an arithmetic number, because the mean of its divisors is an integer number (4899835200).

Almost surely, 2132713235312 is an apocalyptic number.

132713235312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132713235312 is an abundant number, since it is smaller than the sum of its proper divisors (259273580688).

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

132713235312 is a wasteful number, since it uses less digits than its factorization.

132713235312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168150 (or 168144 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The spelling of 132713235312 in words is "one hundred thirty-two billion, seven hundred thirteen million, two hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2383 4766 7149 9532 14298 16681 19064 28596 33362 38128 50043 57192 66724 100086 114384 133448 165749 200172 266896 331498 400344 497247 662996 800688 994494 1160243 1325992 1988988 2320486 2651984 3480729 3977976 4640972 6961458 7955952 9281944 13922916 18563888 27845832 55691664 394979867 789959734 1184939601 1579919468 2369879202 2764859069 3159838936 4739758404 5529718138 6319677872 8294577207 9479516808 11059436276 16589154414 18959033616 22118872552 33178308828 44237745104 66356617656 132713235312