| Base | Representation |
|---|---|
| bin | 11000010000111111101010… |
| … | …001110011100010100000000 |
| 3 | 111222212102111201210110211000 |
| 4 | 120100333222032130110000 |
| 5 | 102442004032401330430 |
| 6 | 1014550535313252000 |
| 7 | 31323223265060424 |
| oct | 3020775216342400 |
| 9 | 458772451713730 |
| 10 | 106720982058240 |
| 11 | 31006129186120 |
| 12 | bb772a8b64000 |
| 13 | 477198c915144 |
| 14 | 1c4d4747c8b84 |
| 15 | c510ce8b5e60 |
| hex | 610fea39c500 |
106720982058240 has 1152 divisors, whose sum is σ = 423166867200000. Its totient is φ = 25245021634560.
The previous prime is 106720982058211. The next prime is 106720982058247. The reversal of 106720982058240 is 42850289027601.
106720982058240 is a `hidden beast` number, since 10 + 6 + 7 + 2 + 0 + 9 + 8 + 2 + 0 + 582 + 40 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a super-2 number, since 2×1067209820582402 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106720982058247) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20417250507 + ... + 20417255733.
It is an arithmetic number, because the mean of its divisors is an integer number (367332350000).
Almost surely, 2106720982058240 is an apocalyptic number.
106720982058240 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 106720982058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211583433600000).
106720982058240 is an abundant number, since it is smaller than the sum of its proper divisors (316445885141760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106720982058240 is a wasteful number, since it uses less digits than its factorization.
106720982058240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6560 (or 6540 counting only the distinct ones).
The product of its (nonzero) digits is 3870720, while the sum is 54.
The spelling of 106720982058240 in words is "one hundred six trillion, seven hundred twenty billion, nine hundred eighty-two million, fifty-eight thousand, two hundred forty".
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