Search a number
-
+
132826416608 = 25171912850853
BaseRepresentation
bin111101110110100010…
…0100100010111100000
3110200211220100002022102
41323231010210113200
54134012030312413
6141004123025532
712411363625004
oct1735504442740
9420756302272
10132826416608
115137105a826
12218ab36b2a8
13c6aa6209b2
146600a08704
1536c606a458
hex1eed1245e0

132826416608 has 48 divisors (see below), whose sum is σ = 291457368720. Its totient is φ = 59216726016.

The previous prime is 132826416607. The next prime is 132826416631. The reversal of 132826416608 is 806614628231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132826416607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6415091 + ... + 6435762.

It is an arithmetic number, because the mean of its divisors is an integer number (6072028515).

Almost surely, 2132826416608 is an apocalyptic number.

It is an amenable number.

132826416608 is an abundant number, since it is smaller than the sum of its proper divisors (158630952112).

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

132826416608 is a wasteful number, since it uses less digits than its factorization.

132826416608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12850899 (or 12850891 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 132826416608 in words is "one hundred thirty-two billion, eight hundred twenty-six million, four hundred sixteen thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 12850853 25701706 51403412 102806824 205613648 218464501 244166207 411227296 436929002 488332414 873858004 976664828 1747716008 1953329656 3495432016 3906659312 4150825519 6990864032 7813318624 8301651038 16603302076 33206604152 66413208304 132826416608