| Base | Representation |
|---|---|
| bin | 101010110011001001… |
| … | …001001011000000000 |
| 3 | 11101121200210122121000 |
| 4 | 222303021021120000 |
| 5 | 1223104012123240 |
| 6 | 33040031132000 |
| 7 | 3214545455352 |
| oct | 526311113000 |
| 9 | 141550718530 |
| 10 | 45955192320 |
| 11 | 18542565194 |
| 12 | 8aa6374000 |
| 13 | 4444a903bb |
| 14 | 231d4750d2 |
| 15 | 12de71d430 |
| hex | ab3249600 |
45955192320 has 640 divisors, whose sum is σ = 172390394880. Its totient is φ = 11581194240.
The previous prime is 45955192313. The next prime is 45955192333. The reversal of 45955192320 is 2329155954.
45955192320 is a `hidden beast` number, since 4 + 5 + 9 + 551 + 92 + 3 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a super-2 number, since 2×459551923202 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 217797015 + ... + 217797225.
It is an arithmetic number, because the mean of its divisors is an integer number (269359992).
Almost surely, 245955192320 is an apocalyptic number.
45955192320 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 45955192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86195197440).
45955192320 is an abundant number, since it is smaller than the sum of its proper divisors (126435202560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
45955192320 is a wasteful number, since it uses less digits than its factorization.
45955192320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 403 (or 381 counting only the distinct ones).
The product of its (nonzero) digits is 486000, while the sum is 45.
It can be divided in two parts, 4595 and 5192320, that added together give a palindrome (5196915).
The spelling of 45955192320 in words is "forty-five billion, nine hundred fifty-five million, one hundred ninety-two thousand, three hundred twenty".
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