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132232533732 = 223213223393281
BaseRepresentation
bin111101100100110101…
…1000101011011100100
3110122022111211201011100
41323021223011123210
54131303012034412
6140425150040100
712360562664025
oct1731153053344
9418274751140
10132232533732
11510968aa832
12217644a9030
13c614587500
146585bb4c4c
15368dd59edc
hex1ec9ac56e4

132232533732 has 108 divisors (see below), whose sum is σ = 363501484164. Its totient is φ = 40511877120.

The previous prime is 132232533701. The next prime is 132232533733. The reversal of 132232533732 is 237335232231.

132232533732 is a `hidden beast` number, since 1 + 3 + 2 + 232 + 53 + 373 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5707198116 + 126525335616 = 75546^2 + 355704^2 .

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 (132232533733) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1370932 + ... + 1464212.

It is an arithmetic number, because the mean of its divisors is an integer number (3365754483).

Almost surely, 2132232533732 is an apocalyptic number.

132232533732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132232533732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181750742082).

132232533732 is an abundant number, since it is smaller than the sum of its proper divisors (231268950432).

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

132232533732 is a wasteful number, since it uses less digits than its factorization.

132232533732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93550 (or 93532 counting only the distinct ones).

The product of its digits is 136080, while the sum is 36.

Adding to 132232533732 its reverse (237335232231), we get a palindrome (369567765963).

The spelling of 132232533732 in words is "one hundred thirty-two billion, two hundred thirty-two million, five hundred thirty-three thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 233 234 338 466 468 507 676 699 932 1014 1398 1521 2028 2097 2796 3029 3042 4194 6058 6084 8388 9087 12116 18174 27261 36348 39377 54522 78754 93281 109044 118131 157508 186562 236262 279843 354393 373124 472524 559686 708786 839529 1119372 1212653 1417572 1679058 2425306 3358116 3637959 4850612 7275918 10913877 14551836 15764489 21734473 21827754 31528978 43468946 43655508 47293467 63057956 65203419 86937892 94586934 130406838 141880401 189173868 195610257 260813676 282548149 283760802 391220514 565096298 567521604 782441028 847644447 1130192596 1695288894 2542933341 3390577788 3673125937 5085866682 7346251874 10171733364 11019377811 14692503748 22038755622 33058133433 44077511244 66116266866 132232533732