| Base | Representation |
|---|---|
| bin | 11000010001010011101001… |
| … | …001010111000010110000000 |
| 3 | 111222221110220010011101111000 |
| 4 | 120101103221022320112000 |
| 5 | 102442332003412334434 |
| 6 | 1015004444414052000 |
| 7 | 31324613102452560 |
| oct | 3021235112702600 |
| 9 | 458843803141430 |
| 10 | 106742439183744 |
| 11 | 3101423a1710a1 |
| 12 | bb7b496aaa000 |
| 13 | 47739cc150000 |
| 14 | 1c5050c412da0 |
| 15 | c5193850cb99 |
| hex | 6114e92b8580 |
106742439183744 has 640 divisors, whose sum is σ = 390049077772800. Its totient is φ = 28151669864448.
The previous prime is 106742439183733. The next prime is 106742439183749. The reversal of 106742439183744 is 447381934247601.
It is a happy number.
106742439183744 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 243 + 9 + 18 + 374 + 4 = 666.
It is a super-2 number, since 2×1067424391837442 (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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (106742439183749) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 690870469 + ... + 691024955.
It is an arithmetic number, because the mean of its divisors is an integer number (609451684020).
Almost surely, 2106742439183744 is an apocalyptic number.
106742439183744 is a gapful number since it is divisible by the number (14) 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 106742439183744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195024538886400).
106742439183744 is an abundant number, since it is smaller than the sum of its proper divisors (283306638589056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106742439183744 is an frugal number, since it uses more digits than its factorization.
106742439183744 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154569 (or 154512 counting only the distinct ones).
The product of its (nonzero) digits is 97542144, while the sum is 63.
The spelling of 106742439183744 in words is "one hundred six trillion, seven hundred forty-two billion, four hundred thirty-nine million, one hundred eighty-three thousand, seven hundred forty-four".
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