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132236273152 = 292915715669
BaseRepresentation
bin111101100100111100…
…1010110011000000000
3110122022202212200200101
41323021321112120000
54131304441220102
6140425402132144
712360636530104
oct1731171263000
9418282780611
10132236273152
1151098a24265
12217657b1054
13c615296599
1465864a9904
15368e347e87
hex1ec9e56600

132236273152 has 80 divisors (see below), whose sum is σ = 273547335600. Its totient is φ = 63786311680.

The previous prime is 132236273129. The next prime is 132236273171. The reversal of 132236273152 is 251372632231.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23323374 + ... + 23329042.

It is an arithmetic number, because the mean of its divisors is an integer number (3419341695).

Almost surely, 2132236273152 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 132236273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136773667800).

132236273152 is an abundant number, since it is smaller than the sum of its proper divisors (141311062448).

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

132236273152 is an equidigital number, since it uses as much as digits as its factorization.

132236273152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287 (or 7271 counting only the distinct ones).

The product of its digits is 90720, while the sum is 37.

The spelling of 132236273152 in words is "one hundred thirty-two billion, two hundred thirty-six million, two hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1571 1856 3142 3712 5669 6284 7424 11338 12568 14848 22676 25136 45352 45559 50272 90704 91118 100544 164401 181408 182236 201088 328802 362816 364472 402176 657604 725632 728944 804352 1315208 1451264 1457888 2630416 2902528 2915776 5260832 5831552 8905999 10521664 11663104 17811998 21043328 23326208 35623996 42086656 71247992 84173312 142495984 258273971 284991968 516547942 569983936 1033095884 1139967872 2066191768 2279935744 4132383536 4559871488 8264767072 16529534144 33059068288 66118136576 132236273152