Search a number
-
+
120543884928 = 2732104638789
BaseRepresentation
bin111000001000011111…
…0011011011010000000
3102112010220120211100200
41300100332123122000
53433333213304203
6131213241445200
711465122054515
oct1602076333200
9375126524320
10120543884928
11471389759a5
121b441aa0800
13b4a0a9637c
145b9768330c
153207adb9a3
hex1c10f9b680

120543884928 has 48 divisors (see below), whose sum is σ = 346877588850. Its totient is φ = 40181294592.

The previous prime is 120543884917. The next prime is 120543884933. The reversal of 120543884928 is 829488345021.

120543884928 is a `hidden beast` number, since 1 + 2 + 0 + 543 + 8 + 8 + 4 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 120153743424 + 390141504 = 346632^2 + 19752^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52318243 + ... + 52320546.

Almost surely, 2120543884928 is an apocalyptic number.

120543884928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120543884928 is an abundant number, since it is smaller than the sum of its proper divisors (226333703922).

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

120543884928 is a wasteful number, since it uses less digits than its factorization.

120543884928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104638809 (or 104638794 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 120543884928 in words is "one hundred twenty billion, five hundred forty-three million, eight hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 104638789 209277578 313916367 418555156 627832734 837110312 941749101 1255665468 1674220624 1883498202 2511330936 3348441248 3766996404 5022661872 6696882496 7533992808 10045323744 13393764992 15067985616 20090647488 30135971232 40181294976 60271942464 120543884928