Search a number
-
+
120564520888 = 23729265727941
BaseRepresentation
bin111000001001000110…
…1001001011110111000
3102112012100102020120111
41300102031021132320
53433404004132023
6131215300034104
711465462342620
oct1602215113670
9375170366514
10120564520888
1147149590009
121b448992934
13b4a51400b6
145b9a2d5880
15320981600d
hex1c123497b8

120564520888 has 64 divisors (see below), whose sum is σ = 267371409600. Its totient is φ = 49868206080.

The previous prime is 120564520873. The next prime is 120564520933. The reversal of 120564520888 is 888025465021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4300998 + ... + 4328938.

It is an arithmetic number, because the mean of its divisors is an integer number (4177678275).

Almost surely, 2120564520888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120564520888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133685704800).

120564520888 is an abundant number, since it is smaller than the sum of its proper divisors (146806888712).

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

120564520888 is a wasteful number, since it uses less digits than its factorization.

120564520888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30640 (or 30636 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

The spelling of 120564520888 in words is "one hundred twenty billion, five hundred sixty-four million, five hundred twenty thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2657 5314 10628 18599 21256 27941 37198 55882 74396 77053 111764 148792 154106 195587 223528 308212 391174 539371 616424 782348 810289 1078742 1564696 1620578 2157484 3241156 4314968 5672023 6482312 11344046 22688092 45376184 74239237 148478474 296956948 519674659 593913896 1039349318 2078698636 2152937873 4157397272 4305875746 8611751492 15070565111 17223502984 30141130222 60282260444 120564520888