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162628096104 = 23322258723557
BaseRepresentation
bin1001011101110101100…
…0111101000001101000
3120112202211110021002200
42113131120331001220
510131030243033404
6202413232300200
714515035002655
oct2273530750150
9515684407080
10162628096104
1162a74358711
12276279a1660
1312449899086
147c2a98ac2c
15436c56c839
hex25dd63d068

162628096104 has 24 divisors (see below), whose sum is σ = 440451093810. Its totient is φ = 54209365344.

The previous prime is 162628096073. The next prime is 162628096133. The reversal of 162628096104 is 401690826261.

162628096104 is a `hidden beast` number, since 1 + 6 + 2 + 6 + 28 + 0 + 9 + 610 + 4 = 666.

162628096104 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 162594432900 + 33663204 = 403230^2 + 5802^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 162628096104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1129361707 + ... + 1129361850.

Almost surely, 2162628096104 is an apocalyptic number.

It is an amenable number.

162628096104 is an abundant number, since it is smaller than the sum of its proper divisors (277822997706).

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

162628096104 is a wasteful number, since it uses less digits than its factorization.

162628096104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258723569 (or 2258723562 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 162628096104 in words is "one hundred sixty-two billion, six hundred twenty-eight million, ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2258723557 4517447114 6776170671 9034894228 13552341342 18069788456 20328512013 27104682684 40657024026 54209365368 81314048052 162628096104