| Base | Representation |
|---|---|
| bin | 100001110000011111101100… |
| … | …001000111000100000000000 |
| 3 | 201110200102002220100100222200 |
| 4 | 201300133230020320200000 |
| 5 | 123430000130121204014 |
| 6 | 1243433145110433200 |
| 7 | 43162315555002600 |
| oct | 4160375410704000 |
| 9 | 643612086310880 |
| 10 | 148468096272384 |
| 11 | 43340a69877139 |
| 12 | 1479a141062800 |
| 13 | 64ac634850095 |
| 14 | 2893c7398ac00 |
| 15 | 1226ee1263a09 |
| hex | 8707ec238800 |
148468096272384 has 864 divisors, whose sum is σ = 509929254394560. Its totient is φ = 41479415857152.
The previous prime is 148468096272373. The next prime is 148468096272409. The reversal of 148468096272384 is 483272690864841.
148468096272384 is a `hidden beast` number, since 1 + 4 + 8 + 46 + 80 + 9 + 62 + 72 + 384 = 666.
It is a super-3 number, since 3×1484680962723843 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14695441477 + ... + 14695451579.
It is an arithmetic number, because the mean of its divisors is an integer number (590195896290).
Almost surely, 2148468096272384 is an apocalyptic number.
148468096272384 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 148468096272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254964627197280).
148468096272384 is an abundant number, since it is smaller than the sum of its proper divisors (361461158122176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148468096272384 is a wasteful number, since it uses less digits than its factorization.
148468096272384 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10505 (or 10475 counting only the distinct ones).
The product of its (nonzero) digits is 891813888, while the sum is 72.
The spelling of 148468096272384 in words is "one hundred forty-eight trillion, four hundred sixty-eight billion, ninety-six million, two hundred seventy-two thousand, three hundred eighty-four".
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