| Base | Representation |
|---|---|
| bin | 101010000010011010… |
| … | …110011000101000000 |
| 3 | 11022111201121120100000 |
| 4 | 222002122303011000 |
| 5 | 1214420230023000 |
| 6 | 32422550200000 |
| 7 | 3155361265650 |
| oct | 520232630500 |
| 9 | 138451546300 |
| 10 | 45137736000 |
| 11 | 18163091155 |
| 12 | 88b8653000 |
| 13 | 4344607b36 |
| 14 | 2282a84360 |
| 15 | 1292a99000 |
| hex | a826b3140 |
45137736000 has 1344 divisors, whose sum is σ = 199385432064. Its totient is φ = 9891072000.
The previous prime is 45137735987. The next prime is 45137736001. The reversal of 45137736000 is 63773154.
45137736000 is a `hidden beast` number, since 45 + 1 + 3 + 7 + 7 + 3 + 600 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×451377360002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (45137736001) by changing a digit.
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 191 ways as a sum of consecutive naturals, for example, 421847947 + ... + 421848053.
It is an arithmetic number, because the mean of its divisors is an integer number (148352256).
Almost surely, 245137736000 is an apocalyptic number.
45137736000 is a gapful number since it is divisible by the number (40) 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 45137736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99692716032).
45137736000 is an abundant number, since it is smaller than the sum of its proper divisors (154247696064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45137736000 is a wasteful number, since it uses less digits than its factorization.
45137736000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 187 (or 155 counting only the distinct ones).
The product of its (nonzero) digits is 52920, while the sum is 36.
The spelling of 45137736000 in words is "forty-five billion, one hundred thirty-seven million, seven hundred thirty-six thousand".
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