Search a number
-
+
132638727280 = 2455189319519
BaseRepresentation
bin111101110000111100…
…0100101110001110000
3110200100211011110221211
41323201320211301300
54133121003233110
6140533340125504
712403624402543
oct1734170456160
9420324143854
10132638727280
1151285115a84
1221858536894
13c67a786c17
1465c3b0c85a
1536b484398a
hex1ee1e25c70

132638727280 has 40 divisors (see below), whose sum is σ = 308445436800. Its totient is φ = 53045100288.

The previous prime is 132638727259. The next prime is 132638727317. The reversal of 132638727280 is 82727836231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 255361 + ... + 574879.

It is an arithmetic number, because the mean of its divisors is an integer number (7711135920).

Almost surely, 2132638727280 is an apocalyptic number.

132638727280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132638727280 is an abundant number, since it is smaller than the sum of its proper divisors (175806709520).

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

132638727280 is a wasteful number, since it uses less digits than its factorization.

132638727280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324721 (or 324715 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 132638727280 in words is "one hundred thirty-two billion, six hundred thirty-eight million, seven hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5189 10378 20756 25945 41512 51890 83024 103780 207560 319519 415120 639038 1278076 1597595 2556152 3195190 5112304 6390380 12780760 25561520 1657984091 3315968182 6631936364 8289920455 13263872728 16579840910 26527745456 33159681820 66319363640 132638727280