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132745627124 = 22113137271089
BaseRepresentation
bin111101110100001000…
…0011000010111110100
3110200122021022112222022
41323220100120113310
54133330340031444
6140552115252312
712406363133105
oct1735020302764
9420567275868
10132745627124
115132a49a460
12218882aa098
13c696975176
1465d3db83ac
1536bde0c9ee
hex1ee84185f4

132745627124 has 72 divisors (see below), whose sum is σ = 268863517440. Its totient is φ = 56813529600.

The previous prime is 132745627111. The next prime is 132745627129. The reversal of 132745627124 is 421726547231.

It is a super-2 number, since 2×1327456271242 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132745627129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1831772 + ... + 1902860.

It is an arithmetic number, because the mean of its divisors is an integer number (3734215520).

Almost surely, 2132745627124 is an apocalyptic number.

It is an amenable number.

132745627124 is an abundant number, since it is smaller than the sum of its proper divisors (136117890316).

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

132745627124 is a wasteful number, since it uses less digits than its factorization.

132745627124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71209 (or 71170 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The spelling of 132745627124 in words is "one hundred thirty-two billion, seven hundred forty-five million, six hundred twenty-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 31 37 44 62 74 124 148 341 407 682 814 1147 1364 1369 1628 2294 2738 4588 5476 12617 15059 25234 30118 42439 50468 60236 71089 84878 142178 169756 284356 466829 781979 933658 1563958 1867316 2203759 2630293 3127916 4407518 5260586 8815036 10521172 24241349 28933223 48482698 57866446 81539083 96965396 97320841 115732892 163078166 194641682 326156332 389283364 896929913 1070529251 1793859826 2141058502 3016946071 3587719652 4282117004 6033892142 12067784284 33186406781 66372813562 132745627124