| Base | Representation |
|---|---|
| bin | 10100111111001110100101… |
| … | …10011101000000000000000 |
| 3 | 20001102011212011100010201000 |
| 4 | 22133213102303220000000 |
| 5 | 22022132230322002224 |
| 6 | 242054213254212000 |
| 7 | 12502304245035660 |
| oct | 1237472263500000 |
| 9 | 201364764303630 |
| 10 | 46152960344064 |
| 11 | 137843a69aaa12 |
| 12 | 5214905054000 |
| 13 | 1c9a2895b5192 |
| 14 | b57b5ac9c1a0 |
| 15 | 5508275e30c9 |
| hex | 29f9d2ce8000 |
46152960344064 has 512 divisors, whose sum is σ = 156413275776000. Its totient is φ = 13175552212992.
The previous prime is 46152960344047. The next prime is 46152960344081. The reversal of 46152960344064 is 46044306925164.
46152960344064 is a `hidden beast` number, since 4 + 6 + 1 + 5 + 29 + 603 + 4 + 4 + 0 + 6 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (46152960344047) and next prime (46152960344081).
It is a tau number, because it is divible by the number of its divisors (512).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 46152960344064.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10026710787 + ... + 10026715389.
It is an arithmetic number, because the mean of its divisors is an integer number (305494679250).
Almost surely, 246152960344064 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 46152960344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78206637888000).
46152960344064 is an abundant number, since it is smaller than the sum of its proper divisors (110260315431936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46152960344064 is an equidigital number, since it uses as much as digits as its factorization.
46152960344064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6268 (or 6234 counting only the distinct ones).
The product of its (nonzero) digits is 14929920, while the sum is 54.
The spelling of 46152960344064 in words is "forty-six trillion, one hundred fifty-two billion, nine hundred sixty million, three hundred forty-four thousand, sixty-four".
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