| Base | Representation |
|---|---|
| bin | 10000101111110001111111… |
| … | …000011100111111000000000 |
| 3 | 100122210002021121022002111210 |
| 4 | 100233301333003213320000 |
| 5 | 34123204232044114000 |
| 6 | 420351211233410120 |
| 7 | 21341124640440000 |
| oct | 2057617703477000 |
| 9 | 318702247262453 |
| 10 | 73652230848000 |
| 11 | 21516810227582 |
| 12 | 8316367109940 |
| 13 | 32134b617640c |
| 14 | 1428b03720000 |
| 15 | 87ace470e350 |
| hex | 42fc7f0e7e00 |
73652230848000 has 800 divisors, whose sum is σ = 285672586811040. Its totient is φ = 16834690252800.
The previous prime is 73652230847971. The next prime is 73652230848029. The reversal of 73652230848000 is 84803225637.
It is a happy number.
73652230848000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (73652230847971) and next prime (73652230848029).
It is a tau number, because it is divible by the number of its divisors (800).
It is a super-2 number, since 2×736522308480002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
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, 460912116 + ... + 461071884.
Almost surely, 273652230848000 is an apocalyptic number.
73652230848000 is a gapful number since it is divisible by the number (70) 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 73652230848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142836293405520).
73652230848000 is an abundant number, since it is smaller than the sum of its proper divisors (212020355963040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73652230848000 is an frugal number, since it uses more digits than its factorization.
73652230848000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 159833 (or 159786 counting only the distinct ones).
The product of its (nonzero) digits is 1935360, while the sum is 48.
The spelling of 73652230848000 in words is "seventy-three trillion, six hundred fifty-two billion, two hundred thirty million, eight hundred forty-eight thousand".
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