Base | Representation |
---|---|
bin | 1000101001000111111… |
… | …1000101011101000000 |
3 | 112012020200210002110000 |
4 | 2022101333011131000 |
5 | 4413040344344132 |
6 | 152113201240000 |
7 | 13504266132360 |
oct | 2122177053500 |
9 | 465220702400 |
10 | 148478121792 |
11 | 57a73035570 |
12 | 24939033000 |
13 | 11003199c00 |
14 | 72875d49a0 |
15 | 3ce01b287c |
hex | 2291fc5740 |
148478121792 has 1680 divisors, whose sum is σ = 622005018624. Its totient is φ = 33965568000.
The previous prime is 148478121697. The next prime is 148478121793. The reversal of 148478121792 is 297121874841.
148478121792 is a `hidden beast` number, since 1 + 48 + 478 + 121 + 7 + 9 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (148478121793) by changing a digit.
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 239 ways as a sum of consecutive naturals, for example, 2091241117 + ... + 2091241187.
Almost surely, 2148478121792 is an apocalyptic number.
148478121792 is a gapful number since it is divisible by the number (12) 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 148478121792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311002509312).
148478121792 is an abundant number, since it is smaller than the sum of its proper divisors (473526896832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148478121792 is a wasteful number, since it uses less digits than its factorization.
148478121792 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170 (or 138 counting only the distinct ones).
The product of its digits is 1806336, while the sum is 54.
The spelling of 148478121792 in words is "one hundred forty-eight billion, four hundred seventy-eight million, one hundred twenty-one thousand, seven hundred ninety-two".
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