| Base | Representation |
|---|---|
| bin | 11000001100110001011011… |
| … | …001110000000000000000000 |
| 3 | 111221211200112211200020111100 |
| 4 | 120030301123032000000000 |
| 5 | 102422230304404212202 |
| 6 | 1014205351013214400 |
| 7 | 31263241636152300 |
| oct | 3014613316000000 |
| 9 | 457750484606440 |
| 10 | 106430819991552 |
| 11 | 30a0406a26a821 |
| 12 | bb2b00a331400 |
| 13 | 47504ca03b664 |
| 14 | 1c3d3ca09d600 |
| 15 | c4879ac5041c |
| hex | 60cc5b380000 |
106430819991552 has 1080 divisors, whose sum is σ = 370346455908000. Its totient is φ = 29366440427520.
The previous prime is 106430819991533. The next prime is 106430819991557. The reversal of 106430819991552 is 255199918034601.
106430819991552 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 308 + 199 + 91 + 5 + 52 = 666.
It is a super-2 number, since 2×1064308199915522 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 106430819991552.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106430819991557) by changing a digit.
It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 222193778449 + ... + 222193778927.
It is an arithmetic number, because the mean of its divisors is an integer number (342913385100).
Almost surely, 2106430819991552 is an apocalyptic number.
106430819991552 is a gapful number since it is divisible by the number (12) 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 106430819991552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185173227954000).
106430819991552 is an abundant number, since it is smaller than the sum of its proper divisors (263915635916448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106430819991552 is an frugal number, since it uses more digits than its factorization.
106430819991552 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 599 (or 522 counting only the distinct ones).
The product of its (nonzero) digits is 20995200, while the sum is 63.
The spelling of 106430819991552 in words is "one hundred six trillion, four hundred thirty billion, eight hundred nineteen million, nine hundred ninety-one thousand, five hundred fifty-two".
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