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122064440418 = 232823492
BaseRepresentation
bin111000110101110011…
…0111000110001100010
3102200001212210001100200
41301223212320301202
53444441444043133
6132024200330030
711550604424064
oct1615346706142
9380055701320
10122064440418
1147849215828
121b7a7173916
13b683b0484b
145c9d5b7734
153296346913
hex1c6b9b8c62

122064440418 has 18 divisors (see below), whose sum is σ = 264476165889. Its totient is φ = 40687652712.

The previous prime is 122064440411. The next prime is 122064440419. The reversal of 122064440418 is 814044460221.

122064440418 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 644 + 4 + 0 + 4 + 1 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116966052009 + 5098388409 = 342003^2 + 71403^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247047.

It is a super-2 number, since 2×1220644404182 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122064440411) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1441108 + ... + 1523456.

Almost surely, 2122064440418 is an apocalyptic number.

122064440418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

122064440418 is an abundant number, since it is smaller than the sum of its proper divisors (142411725471).

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

122064440418 is an frugal number, since it uses more digits than its factorization.

122064440418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164706 (or 82354 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 122064440418 in words is "one hundred twenty-two billion, sixty-four million, four hundred forty thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 82349 164698 247047 494094 741141 1482282 6781357801 13562715602 20344073403 40688146806 61032220209 122064440418