| Base | Representation |
|---|---|
| bin | 10100111110001011110110… |
| … | …10001000110111101000000 |
| 3 | 20001021202101012212121112200 |
| 4 | 22133011323101012331000 |
| 5 | 22021040341234032043 |
| 6 | 242025530135153200 |
| 7 | 12466565343444300 |
| oct | 1237057321067500 |
| 9 | 201252335777480 |
| 10 | 46117131939648 |
| 11 | 13770190788430 |
| 12 | 5209986215800 |
| 13 | 1c96a99874993 |
| 14 | b5611c751600 |
| 15 | 54e92be797d3 |
| hex | 29f17b446f40 |
46117131939648 has 2016 divisors, whose sum is σ = 177967930982400. Its totient is φ = 11273433292800.
The previous prime is 46117131939589. The next prime is 46117131939661. The reversal of 46117131939648 is 84693913171164.
46117131939648 is a `hidden beast` number, since 4 + 6 + 1 + 171 + 31 + 9 + 396 + 48 = 666.
46117131939648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2016).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 121681086723 + ... + 121681087101.
Almost surely, 246117131939648 is an apocalyptic number.
46117131939648 is a gapful number since it is divisible by the number (48) 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 46117131939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88983965491200).
46117131939648 is an abundant number, since it is smaller than the sum of its proper divisors (131850799042752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46117131939648 is a wasteful number, since it uses less digits than its factorization.
46117131939648 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 769 (or 749 counting only the distinct ones).
The product of its digits is 23514624, while the sum is 63.
The spelling of 46117131939648 in words is "forty-six trillion, one hundred seventeen billion, one hundred thirty-one million, nine hundred thirty-nine thousand, six hundred forty-eight".
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