| Base | Representation |
|---|---|
| bin | 11000010000110001110110… |
| … | …101100000010000000000000 |
| 3 | 111222211000020200010200200000 |
| 4 | 120100301312230002000000 |
| 5 | 102441233203120141330 |
| 6 | 1014540044350400000 |
| 7 | 31322160042063360 |
| oct | 3020616654020000 |
| 9 | 458730220120600 |
| 10 | 106706158755840 |
| 11 | 30aaa911880686 |
| 12 | bb74450800000 |
| 13 | 4770469884aa7 |
| 14 | 1c4c869c3c9a0 |
| 15 | c50a13356560 |
| hex | 610c76b02000 |
106706158755840 has 1344 divisors, whose sum is σ = 439103677259520. Its totient is φ = 24350341201920.
The previous prime is 106706158755821. The next prime is 106706158755841. The reversal of 106706158755840 is 48557851607601.
It is a happy number.
106706158755840 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 0 + 6 + 1 + 587 + 5 + 5 + 8 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a super-2 number, since 2×1067061587558402 (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 not an unprimeable number, because it can be changed into a prime (106706158755841) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77267311950 + ... + 77267313330.
It is an arithmetic number, because the mean of its divisors is an integer number (326714045580).
Almost surely, 2106706158755840 is an apocalyptic number.
106706158755840 is a gapful number since it is divisible by the number (10) 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 106706158755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219551838629760).
106706158755840 is an abundant number, since it is smaller than the sum of its proper divisors (332397518503680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106706158755840 is an equidigital number, since it uses as much as digits as its factorization.
106706158755840 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2543 (or 2507 counting only the distinct ones).
The product of its (nonzero) digits is 56448000, while the sum is 63.
The spelling of 106706158755840 in words is "one hundred six trillion, seven hundred six billion, one hundred fifty-eight million, seven hundred fifty-five thousand, eight hundred forty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.129 sec. • engine limits •