Search a number
-
+
122676964128 = 2533141987227
BaseRepresentation
bin111001001000000011…
…1011110101100100000
3102201122120100110221000
41302100013132230200
54002220300323003
6132205041032000
711602022663355
oct1622007365440
9381576313830
10122676964128
1148032a47974
121b938325600
13b750996904
145d1aaa062c
1532ceeda1a3
hex1c901deb20

122676964128 has 48 divisors (see below), whose sum is σ = 357807814560. Its totient is φ = 40892321088.

The previous prime is 122676964121. The next prime is 122676964133. The reversal of 122676964128 is 821469676221.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (122676964121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70992750 + ... + 70994477.

It is an arithmetic number, because the mean of its divisors is an integer number (7454329470).

Almost surely, 2122676964128 is an apocalyptic number.

122676964128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122676964128 is an abundant number, since it is smaller than the sum of its proper divisors (235130850432).

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

122676964128 is a wasteful number, since it uses less digits than its factorization.

122676964128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141987246 (or 141987232 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 122676964128 in words is "one hundred twenty-two billion, six hundred seventy-six million, nine hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 141987227 283974454 425961681 567948908 851923362 1135897816 1277885043 1703846724 2271795632 2555770086 3407693448 3833655129 4543591264 5111540172 6815386896 7667310258 10223080344 13630773792 15334620516 20446160688 30669241032 40892321376 61338482064 122676964128