| Base | Representation |
|---|---|
| bin | 100000010101111001000… |
| … | …0110111000000110000000 |
| 3 | 120201221110201222100010000 |
| 4 | 1000223302012320012000 |
| 5 | 1040311434331313320 |
| 6 | 13242010445040000 |
| 7 | 636100453132251 |
| oct | 100536206700600 |
| 9 | 16657421870100 |
| 10 | 4445058072960 |
| 11 | 146415844409a |
| 12 | 5b9594b56000 |
| 13 | 26322339b9bb |
| 14 | 1151db76ab28 |
| 15 | 7a95d463c90 |
| hex | 40af21b8180 |
4445058072960 has 640 divisors, whose sum is σ = 16607636115840. Its totient is φ = 1131807375360.
The previous prime is 4445058072943. The next prime is 4445058072997. The reversal of 4445058072960 is 692708505444.
4445058072960 is a `hidden beast` number, since 4 + 4 + 4 + 50 + 580 + 7 + 2 + 9 + 6 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (640).
It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 4445058072897 and 4445058072906.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99873432 + ... + 99917928.
It is an arithmetic number, because the mean of its divisors is an integer number (25949431431).
Almost surely, 24445058072960 is an apocalyptic number.
4445058072960 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 4445058072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8303818057920).
4445058072960 is an abundant number, since it is smaller than the sum of its proper divisors (12162578042880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4445058072960 is a wasteful number, since it uses less digits than its factorization.
4445058072960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 44616 (or 44595 counting only the distinct ones).
The product of its (nonzero) digits is 9676800, while the sum is 54.
The spelling of 4445058072960 in words is "four trillion, four hundred forty-five billion, fifty-eight million, seventy-two thousand, nine hundred sixty".
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