| Base | Representation |
|---|---|
| bin | 1000101100100001110… |
| … | …0100100100000000000 |
| 3 | 112021121101001210212000 |
| 4 | 2023020130210200000 |
| 5 | 4421423301231200 |
| 6 | 152344001104000 |
| 7 | 13536032345025 |
| oct | 2131034444000 |
| 9 | 467541053760 |
| 10 | 149391820800 |
| 11 | 583a1874112 |
| 12 | 24b53028000 |
| 13 | 1111a57ba01 |
| 14 | 7332ab954c |
| 15 | 3d454e8300 |
| hex | 22c8724800 |
149391820800 has 576 divisors, whose sum is σ = 559370448000. Its totient is φ = 39066992640.
The previous prime is 149391820777. The next prime is 149391820801. The reversal of 149391820800 is 8028193941.
149391820800 is a `hidden beast` number, since 1 + 493 + 9 + 1 + 82 + 0 + 80 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×1493918208002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (149391820801) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73266181 + ... + 73268219.
It is an arithmetic number, because the mean of its divisors is an integer number (971129250).
Almost surely, 2149391820800 is an apocalyptic number.
149391820800 is a gapful number since it is divisible by the number (10) 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 149391820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279685224000).
149391820800 is an abundant number, since it is smaller than the sum of its proper divisors (409978627200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149391820800 is a wasteful number, since it uses less digits than its factorization.
149391820800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2133 (or 2102 counting only the distinct ones).
The product of its (nonzero) digits is 124416, while the sum is 45.
The spelling of 149391820800 in words is "one hundred forty-nine billion, three hundred ninety-one million, eight hundred twenty thousand, eight hundred".
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