Search a number
-
+
132252016400226 = 23323836310274713
BaseRepresentation
bin11110000100100001010010…
…011101010101011101100010
3122100021011120102011201222000
4132010201102131111131202
5114313304112144301401
61145135423153024430
736566615153235252
oct3604412235253542
9570234512151860
10132252016400226
1139159846500628
12129bb3b0855116
1358a4408875568
142493063187962
1510452a23e2186
hex784852755762

132252016400226 has 32 divisors (see below), whose sum is σ = 293894631347520. Its totient is φ = 44083816231392.

The previous prime is 132252016400209. The next prime is 132252016400243. The reversal of 132252016400226 is 622004610252231.

132252016400226 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 5 + 2 + 0 + 1 + 640 + 0 + 2 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (132252016400209) and next prime (132252016400243).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7734246 + ... + 18008958.

It is an arithmetic number, because the mean of its divisors is an integer number (9184207229610).

Almost surely, 2132252016400226 is an apocalyptic number.

132252016400226 is an abundant number, since it is smaller than the sum of its proper divisors (161642614947294).

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

132252016400226 is a wasteful number, since it uses less digits than its factorization.

132252016400226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10513087 (or 10513081 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 132252016400226 its reverse (622004610252231), we get a palindrome (754256626652457).

The spelling of 132252016400226 in words is "one hundred thirty-two trillion, two hundred fifty-two billion, sixteen million, four hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 238363 476726 715089 1430178 2145267 4290534 6435801 10274713 12871602 20549426 30824139 61648278 92472417 184944834 277417251 554834502 2449111414819 4898222829638 7347334244457 14694668488914 22042002733371 44084005466742 66126008200113 132252016400226