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132214650460416 = 283257384830929
BaseRepresentation
bin11110000011111110011111…
…010001100101100100000000
3122100010121010022120022202100
4132003332133101211210000
5114312201101004213131
61145110323311150400
736564123202054236
oct3603763721454400
9570117108508670
10132214650460416
1139144a113a0a37
12129b4102b15400
1358a0a3242ccc4
14249131a766956
151044316cb77e6
hex783f9f465900

132214650460416 has 54 divisors (see below), whose sum is σ = 381207431867990. Its totient is φ = 44071550152704.

The previous prime is 132214650460397. The next prime is 132214650460427. The reversal of 132214650460416 is 614064056412231.

132214650460416 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 46 + 504 + 60 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104356521974016 + 27858128486400 = 10215504^2 + 5278080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28692413161 + ... + 28692417768.

Almost surely, 2132214650460416 is an apocalyptic number.

132214650460416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132214650460416 is an abundant number, since it is smaller than the sum of its proper divisors (248992781407574).

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

132214650460416 is an equidigital number, since it uses as much as digits as its factorization.

132214650460416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57384830951 (or 57384830934 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 132214650460416 in words is "one hundred thirty-two trillion, two hundred fourteen billion, six hundred fifty million, four hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 57384830929 114769661858 172154492787 229539323716 344308985574 459078647432 516463478361 688617971148 918157294864 1032926956722 1377235942296 1836314589728 2065853913444 2754471884592 3672629179456 4131707826888 5508943769184 7345258358912 8263415653776 11017887538368 14690516717824 16526831307552 22035775076736 33053662615104 44071550153472 66107325230208 132214650460416