Search a number
-
+
132943960661408 = 25134118959411127
BaseRepresentation
bin11110001110100101101101…
…100011001101110110100000
3122102201022121012101012111222
4132032211231203031312200
5114411123212412131113
61150425340135554212
740000612164352631
oct3616455543156640
9572638535335458
10132943960661408
11393a6242a51436
1212ab151b52b968
13592473c084b30
1424b8744635888
15105829e13de08
hex78e96d8cdda0

132943960661408 has 96 divisors (see below), whose sum is σ = 288757493982720. Its totient is φ = 59858893117440.

The previous prime is 132943960661401. The next prime is 132943960661453. The reversal of 132943960661408 is 804166069349231.

It is not an unprimeable number, because it can be changed into a prime (132943960661401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323159141 + ... + 323570267.

It is an arithmetic number, because the mean of its divisors is an integer number (3007890562320).

Almost surely, 2132943960661408 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 132943960661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144378746991360).

132943960661408 is an abundant number, since it is smaller than the sum of its proper divisors (155813533321312).

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

132943960661408 is a wasteful number, since it uses less digits than its factorization.

132943960661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430150 (or 430142 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 62.

The spelling of 132943960661408 in words is "one hundred thirty-two trillion, nine hundred forty-three billion, nine hundred sixty million, six hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 328 416 533 656 1066 1312 2132 4264 8528 17056 18959 37918 75836 151672 246467 303344 411127 492934 606688 777319 822254 985868 1554638 1644508 1971736 3109276 3289016 3943472 5344651 6218552 6578032 7886944 10105147 10689302 12437104 13156064 16856207 20210294 21378604 24874208 33712414 40420588 42757208 67424828 80841176 85514416 134849656 161682352 171028832 219130691 269699312 323364704 438261382 539398624 876522764 1753045528 3506091056 7012182112 7794556793 15589113586 31178227172 62356454344 101329238309 124712908688 202658476618 249425817376 319576828513 405316953236 639153657026 810633906472 1278307314052 1621267812944 2556614628104 3242535625888 4154498770669 5113229256208 8308997541338 10226458512416 16617995082676 33235990165352 66471980330704 132943960661408