Base | Representation |
---|---|
bin | 111000111110111010… |
… | …0011011110000100000 |
3 | 102200212011201010220000 |
4 | 1301331310123300200 |
5 | 4001103203401342 |
6 | 132114353220000 |
7 | 11561304452244 |
oct | 1617564336040 |
9 | 380764633800 |
10 | 122369981472 |
11 | 479957342a2 |
12 | 1b871561600 |
13 | b7021c277b |
14 | 5ccbdd0424 |
15 | 32b309c44c |
hex | 1c7dd1bc20 |
122369981472 has 90 divisors (see below), whose sum is σ = 359939101599. Its totient is φ = 40784057280.
The previous prime is 122369981449. The next prime is 122369981483. The reversal of 122369981472 is 274189963221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
122369981472 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 6 + 99 + 81 + 472 = 666.
It can be written as a sum of positive squares in only one way, i.e., 61184990736 + 61184990736 = 247356^2 + 247356^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=247356.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
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 14 ways as a sum of consecutive naturals, for example, 17806197 + ... + 17813067.
Almost surely, 2122369981472 is an apocalyptic number.
122369981472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122369981472
122369981472 is an abundant number, since it is smaller than the sum of its proper divisors (237569120127).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122369981472 is an frugal number, since it uses more digits than its factorization.
122369981472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13764 (or 6876 counting only the distinct ones).
The product of its digits is 2612736, while the sum is 54.
The spelling of 122369981472 in words is "one hundred twenty-two billion, three hundred sixty-nine million, nine hundred eighty-one thousand, four hundred seventy-two".
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