Search a number
-
+
132656146634011 = 71113231328842737
BaseRepresentation
bin11110001010011001101010…
…011111110101010100011011
3122101200210200221111201120111
4132022121222133311110123
5114341414242014242021
61150045220434305151
736641042656446220
oct3612315237652433
9571623627451514
10132656146634011
11392a5179488780
1212a657971281b7
135903561aa3300
1424a883dac1947
151050a566d88e1
hex78a66a7f551b

132656146634011 has 48 divisors (see below), whose sum is σ = 184867495077888. Its totient is φ = 92339040268800.

The previous prime is 132656146633987. The next prime is 132656146634017. The reversal of 132656146634011 is 110436641656231.

It is not a de Polignac number, because 132656146634011 - 211 = 132656146631963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132656146634017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164017966 + ... + 164824771.

It is an arithmetic number, because the mean of its divisors is an integer number (3851406147456).

Almost surely, 2132656146634011 is an apocalyptic number.

132656146634011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132656146634011 is a deficient number, since it is larger than the sum of its proper divisors (52211348443877).

132656146634011 is a wasteful number, since it uses less digits than its factorization.

132656146634011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328842812 (or 328842799 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 132656146634011 in words is "one hundred thirty-two trillion, six hundred fifty-six billion, one hundred forty-six million, six hundred thirty-four thousand, eleven".

Divisors: 1 7 11 13 31 77 91 143 169 217 341 403 1001 1183 1859 2387 2821 4433 5239 13013 31031 36673 57629 403403 328842737 2301899159 3617270107 4274955581 10194124847 25320890749 29924689067 47024511391 55574422553 71358873929 112135373317 132523623011 329171579737 389020957871 611318648083 784947613219 927665361077 1457759853121 1722807099143 4279230536581 10204318971847 12059649694001 18950878090573 132656146634011