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132246655244 = 221121930414729
BaseRepresentation
bin111101100101010000…
…0111101000100001100
3110122100111102011020022
41323022200331010030
54131320120431434
6140430412441312
712361124010434
oct1731240750414
9418314364208
10132246655244
11510a3875500
1221769179238
13c617490032
146587a0d2c4
1536901e922e
hex1eca83d10c

132246655244 has 72 divisors (see below), whose sum is σ = 267916849200. Its totient is φ = 56917555200.

The previous prime is 132246655231. The next prime is 132246655249. The reversal of 132246655244 is 442556642231.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 132246655195 and 132246655204.

It is not an unprimeable number, because it can be changed into a prime (132246655249) 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 23 ways as a sum of consecutive naturals, for example, 27962672 + ... + 27967400.

It is an arithmetic number, because the mean of its divisors is an integer number (3721067350).

Almost surely, 2132246655244 is an apocalyptic number.

It is an amenable number.

132246655244 is an abundant number, since it is smaller than the sum of its proper divisors (135670193956).

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

132246655244 is a wasteful number, since it uses less digits than its factorization.

132246655244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7802 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 44.

The spelling of 132246655244 in words is "one hundred thirty-two billion, two hundred forty-six million, six hundred fifty-five thousand, two hundred forty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 418 484 836 2299 3041 4598 4729 6082 9196 9458 12164 18916 33451 52019 57779 66902 89851 104038 115558 133804 179702 208076 231116 359404 367961 572209 635569 735922 988361 1144418 1271138 1471844 1976722 2288836 2542276 3953444 6991259 10871971 13982518 14380889 21743942 27965036 28761778 43487884 57523556 158189779 273236891 316379558 546473782 632759116 1092947564 1740087569 3005605801 3480175138 6011211602 6960350276 12022423204 33061663811 66123327622 132246655244