Search a number
-
+
132298057984 = 2812721792
BaseRepresentation
bin111101100110110010…
…1000010100100000000
3110122111002010200112111
41323031211002210000
54131421300323414
6140435450305104
712362316636601
oct1731545024400
9418432120474
10132298057984
115111a894104
1221782428194
13c625019a61
14659078dda8
15369499e8c4
hex1ecd942900

132298057984 has 81 divisors (see below), whose sum is σ = 267670383267. Its totient is φ = 65261532672.

The previous prime is 132298057979. The next prime is 132298058033. The reversal of 132298057984 is 489750892231.

The square root of 132298057984 is 363728.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1322980579842 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 739095207 + ... + 739095385.

Almost surely, 2132298057984 is an apocalyptic number.

132298057984 is the 363728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132298057984

132298057984 is an abundant number, since it is smaller than the sum of its proper divisors (135372325283).

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

132298057984 is an frugal number, since it uses more digits than its factorization.

132298057984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 132298057984 in words is "one hundred thirty-two billion, two hundred ninety-eight million, fifty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 128 179 254 256 358 508 716 1016 1432 2032 2864 4064 5728 8128 11456 16129 16256 22733 22912 32041 32258 32512 45466 45824 64082 64516 90932 128164 129032 181864 256328 258064 363728 512656 516128 727456 1025312 1032256 1454912 2050624 2064512 2887091 2909824 4069207 4101248 4129024 5774182 5819648 8138414 8202496 11548364 16276828 23096728 32553656 46193456 65107312 92386912 130214624 184773824 260429248 369547648 516789289 520858496 739095296 1033578578 1041716992 2067157156 4134314312 8268628624 16537257248 33074514496 66149028992 132298057984