Base | Representation |
---|---|
bin | 100001101110001011110100… |
… | …010111101001101110000000 |
3 | 201110010020021112212002000200 |
4 | 201232023310113221232000 |
5 | 123414344442031244101 |
6 | 1243232210012245200 |
7 | 43144665135551430 |
oct | 4156136427515600 |
9 | 643106245762020 |
10 | 148309320571776 |
11 | 4328a6a2057261 |
12 | 1477340b470800 |
13 | 649a680134c90 |
14 | 288a2d08d02c0 |
15 | 1222cec011986 |
hex | 86e2f45e9b80 |
148309320571776 has 768 divisors, whose sum is σ = 563340173760000. Its totient is φ = 36356692230144.
The previous prime is 148309320571691. The next prime is 148309320571787. The reversal of 148309320571776 is 677175023903841.
148309320571776 is a `hidden beast` number, since 1 + 4 + 8 + 30 + 9 + 3 + 20 + 571 + 7 + 7 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 95 ways as a sum of consecutive naturals, for example, 104863375 + ... + 106268273.
It is an arithmetic number, because the mean of its divisors is an integer number (733515851250).
It is a 1-persistent number, because it is pandigital, but 2⋅148309320571776 = 296618641143552 is not.
Almost surely, 2148309320571776 is an apocalyptic number.
148309320571776 is a gapful number since it is divisible by the number (16) 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 148309320571776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281670086880000).
148309320571776 is an abundant number, since it is smaller than the sum of its proper divisors (415030853188224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148309320571776 is a wasteful number, since it uses less digits than its factorization.
148309320571776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1405011 (or 1404996 counting only the distinct ones).
The product of its (nonzero) digits is 53343360, while the sum is 63.
The spelling of 148309320571776 in words is "one hundred forty-eight trillion, three hundred nine billion, three hundred twenty million, five hundred seventy-one thousand, seven hundred seventy-six".
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