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46722378732328 = 23131725532603569
BaseRepresentation
bin10101001111110011001101…
…10010011001001100101000
320010102121121220111100111201
422213321212302121030220
522110444412423413303
6243211544154333544
712561403046343055
oct1247714662311450
9203377556440451
1046722378732328
1113983938820a22
1252a713a12a2b4
13200bb9451c630
14b7753777a02c
1556055274c81d
hex2a7e66c99328

46722378732328 has 32 divisors (see below), whose sum is σ = 94343847733800. Its totient is φ = 21564041545728.

The previous prime is 46722378732311. The next prime is 46722378732329. The reversal of 46722378732328 is 82323787322764.

46722378732328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40601593875844 + 6120784856484 = 6371938^2 + 2474022^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 46722378732328.

It is not an unprimeable number, because it can be changed into a prime (46722378732329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16643728 + ... + 19247296.

Almost surely, 246722378732328 is an apocalyptic number.

It is an amenable number.

46722378732328 is an abundant number, since it is smaller than the sum of its proper divisors (47621469001472).

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

46722378732328 is a wasteful number, since it uses less digits than its factorization.

46722378732328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776141 (or 2776137 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 64.

The spelling of 46722378732328 in words is "forty-six trillion, seven hundred twenty-two billion, three hundred seventy-eight million, seven hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 104 172553 345106 690212 1380424 2243189 2603569 4486378 5207138 8972756 10414276 17945512 20828552 33846397 67692794 135385588 270771176 449253641657 898507283314 1797014566628 3594029133256 5840297341541 11680594683082 23361189366164 46722378732328