| Base | Representation |
|---|---|
| bin | 1001000010000000101010… |
| … | …1111001100110100000000 |
| 3 | 1022011022102211211220000000 |
| 4 | 2100200022233030310000 |
| 5 | 2300143414000040020 |
| 6 | 33041502340000000 |
| 7 | 2043300144600003 |
| oct | 220401257146400 |
| 9 | 38138384756000 |
| 10 | 9930144533760 |
| 11 | 3189394790340 |
| 12 | 1144641390000 |
| 13 | 570540947a09 |
| 14 | 26489b7bb53a |
| 15 | 12348c382090 |
| hex | 9080abccd00 |
9930144533760 has 1152 divisors, whose sum is σ = 39063390912000. Its totient is φ = 2398222909440.
The previous prime is 9930144533759. The next prime is 9930144533801. The reversal of 9930144533760 is 673354410399.
9930144533760 is a `hidden beast` number, since 9 + 9 + 3 + 0 + 1 + 44 + 533 + 7 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×99301445337602 (a number of 27 digits) contains 22 as substring.
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 = 9930144533697 and 9930144533706.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11978461026 + ... + 11978461854.
It is an arithmetic number, because the mean of its divisors is an integer number (33909193500).
Almost surely, 29930144533760 is an apocalyptic number.
9930144533760 is a gapful number since it is divisible by the number (90) 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 9930144533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531695456000).
9930144533760 is an abundant number, since it is smaller than the sum of its proper divisors (29133246378240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9930144533760 is an equidigital number, since it uses as much as digits as its factorization.
9930144533760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1271 (or 1239 counting only the distinct ones).
The product of its (nonzero) digits is 7348320, while the sum is 54.
The spelling of 9930144533760 in words is "nine trillion, nine hundred thirty billion, one hundred forty-four million, five hundred thirty-three thousand, seven hundred sixty".
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