Search a number
-
+
132628364704 = 251117191116041
BaseRepresentation
bin111101110000101000…
…1000011110110100000
3110200100002200000011201
41323201101003312200
54133110330132304
6140532330050544
712403440333133
oct1734121036640
9420302600151
10132628364704
115127a288470
1221854b79a54
13c678599314
1465c25b221a
1536b39983a4
hex1ee1443da0

132628364704 has 96 divisors (see below), whose sum is σ = 303187110912. Its totient is φ = 56441856000.

The previous prime is 132628364699. The next prime is 132628364741. The reversal of 132628364704 is 407463826231.

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 15 ways as a sum of consecutive naturals, for example, 1084924 + ... + 1200964.

It is an arithmetic number, because the mean of its divisors is an integer number (3158199072).

Almost surely, 2132628364704 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 132628364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151593555456).

132628364704 is an abundant number, since it is smaller than the sum of its proper divisors (170558746208).

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

132628364704 is a wasteful number, since it uses less digits than its factorization.

132628364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116270 (or 116262 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 132628364704 in words is "one hundred thirty-two billion, six hundred twenty-eight million, three hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 191 272 352 374 382 544 748 764 1496 1528 2101 2992 3056 3247 4202 5984 6112 6494 8404 12988 16808 25976 33616 35717 51952 67232 71434 103904 116041 142868 232082 285736 464164 571472 928328 1142944 1276451 1856656 1972697 2552902 3713312 3945394 5105804 7890788 10211608 15781576 20423216 21699667 22163831 31563152 40846432 43399334 44327662 63126304 86798668 88655324 173597336 177310648 243802141 347194672 354621296 376785127 487604282 694389344 709242592 753570254 975208564 1507140508 1950417128 3014281016 3900834256 4144636397 6028562032 7801668512 8289272794 12057124064 16578545588 33157091176 66314182352 132628364704