Search a number
-
+
122206447632 = 2433182127989
BaseRepresentation
bin111000111010000010…
…0100110100000010000
3102200102202222202122010
41301310010212200100
54000234322311012
6132050232142520
711554250444223
oct1616404464020
9380382882563
10122206447632
1147911398965
121b826837a40
13b6a7365699
145cb43c15ba
1532a3a47c3c
hex1c74126810

122206447632 has 40 divisors (see below), whose sum is σ = 325883864320. Its totient is φ = 39421434240.

The previous prime is 122206447619. The next prime is 122206447651. The reversal of 122206447632 is 236744602221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41062507 + ... + 41065482.

It is an arithmetic number, because the mean of its divisors is an integer number (8147096608).

Almost surely, 2122206447632 is an apocalyptic number.

122206447632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122206447632 is an abundant number, since it is smaller than the sum of its proper divisors (203677416688).

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

122206447632 is a wasteful number, since it uses less digits than its factorization.

122206447632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82128031 (or 82128025 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 122206447632 in words is "one hundred twenty-two billion, two hundred six million, four hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 82127989 164255978 246383967 328511956 492767934 657023912 985535868 1314047824 1971071736 2545967659 3942143472 5091935318 7637902977 10183870636 15275805954 20367741272 30551611908 40735482544 61103223816 122206447632