| Base | Representation |
|---|---|
| bin | 11001010110010111101… |
| … | …011000111011001101100 |
| 3 | 20011112102102101220102100 |
| 4 | 121112113223013121230 |
| 5 | 212020112120321004 |
| 6 | 3412133335055100 |
| 7 | 236566354142430 |
| oct | 31262753073154 |
| 9 | 6145372356370 |
| 10 | 1742006417004 |
| 11 | 6118652323a7 |
| 12 | 241742511490 |
| 13 | c836939b119 |
| 14 | 604565a49c0 |
| 15 | 304a8534739 |
| hex | 19597ac766c |
1742006417004 has 72 divisors (see below), whose sum is σ = 5032631036160. Its totient is φ = 497699498592.
The previous prime is 1742006416999. The next prime is 1742006417009. The reversal of 1742006417004 is 4007146002471.
It is a happy number.
1742006417004 is a `hidden beast` number, since 1 + 7 + 4 + 2 + 0 + 0 + 641 + 7 + 0 + 0 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (1742006416999) and next prime (1742006417009).
It is a super-2 number, since 2×17420064170042 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 1742006417004.
It is not an unprimeable number, because it can be changed into a prime (1742006417009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8813737 + ... + 9009215.
It is an arithmetic number, because the mean of its divisors is an integer number (69897653280).
Almost surely, 21742006417004 is an apocalyptic number.
1742006417004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
1742006417004 is an abundant number, since it is smaller than the sum of its proper divisors (3290624619156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1742006417004 is a wasteful number, since it uses less digits than its factorization.
1742006417004 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 230859 (or 230854 counting only the distinct ones).
The product of its (nonzero) digits is 37632, while the sum is 36.
The spelling of 1742006417004 in words is "one trillion, seven hundred forty-two billion, six million, four hundred seventeen thousand, four".
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