Search a number
-
+
132352015122045 = 32537194940785377
BaseRepresentation
bin11110000101111110011010…
…110110001011111001111101
3122100121201200111102010212200
4132011332122312023321331
5114321423411332401140
61145253402032422113
736610055213321265
oct3605763266137175
9570551614363780
10132352015122045
11391981a1143384
1212a1685a0a7939
1358b0984028284
142497c2bd947a5
151047ba6478030
hex785f9ad8be7d

132352015122045 has 48 divisors (see below), whose sum is σ = 235731327764400. Its totient is φ = 68644724355072.

The previous prime is 132352015122037. The next prime is 132352015122083. The reversal of 132352015122045 is 540221510253231.

132352015122045 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 520 + 1 + 5 + 122 + 0 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1912705596036 + 130439309526009 = 1383006^2 + 11421003^2 .

It is not a de Polignac number, because 132352015122045 - 23 = 132352015122037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17147604 + ... + 23637773.

It is an arithmetic number, because the mean of its divisors is an integer number (4911069328425).

Almost surely, 2132352015122045 is an apocalyptic number.

132352015122045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132352015122045 is a deficient number, since it is larger than the sum of its proper divisors (103379312642355).

132352015122045 is a wasteful number, since it uses less digits than its factorization.

132352015122045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40787374 (or 40787371 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 132352015122045 its reverse (540221510253231), we get a palindrome (672573525375276).

The spelling of 132352015122045 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, fifteen million, one hundred twenty-two thousand, forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 1949 5847 9745 17541 29235 72113 87705 216339 360565 649017 1081695 3245085 40785377 122356131 203926885 367068393 611780655 1509058949 1835341965 4527176847 7545294745 13581530541 22635884235 67907652705 79490699773 238472099319 397453498865 715416297957 1192360496595 2941155891601 3577081489785 8823467674803 14705779458005 26470403024409 44117338374015 132352015122045