Base | Representation |
---|---|
bin | 100001111111010100001110… |
… | …000111010100100000000000 |
3 | 201121021202222100000002212000 |
4 | 201333110032013110200000 |
5 | 124043142000311143110 |
6 | 1245533103413104000 |
7 | 43326022434630600 |
oct | 4177241607244000 |
9 | 647252870002760 |
10 | 149486573537280 |
11 | 436a3999722691 |
12 | 149235bb028000 |
13 | 65546a5ba0c55 |
14 | 28cb28dd78c00 |
15 | 124374ec0a1c0 |
hex | 87f50e1d4800 |
149486573537280 has 2304 divisors, whose sum is σ = 650387556000000. Its totient is φ = 32425956605952.
The previous prime is 149486573537173. The next prime is 149486573537297. The reversal of 149486573537280 is 82735375684941.
149486573537280 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 8 + 6 + 5 + 7 + 3 + 537 + 2 + 80 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 149486573537199 and 149486573537208.
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 191 ways as a sum of consecutive naturals, for example, 23179803496 + ... + 23179809944.
It is an arithmetic number, because the mean of its divisors is an integer number (282286265625).
It is a 2-persistent number, because it is pandigital, and so is 2⋅149486573537280 = 298973147074560, but 3⋅149486573537280 = 448459720611840 is not.
Almost surely, 2149486573537280 is an apocalyptic number.
149486573537280 is a gapful number since it is divisible by the number (10) 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 149486573537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325193778000000).
149486573537280 is an abundant number, since it is smaller than the sum of its proper divisors (500900982462720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
149486573537280 is a wasteful number, since it uses less digits than its factorization.
149486573537280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6587 (or 6554 counting only the distinct ones).
The product of its (nonzero) digits is 1219276800, while the sum is 72.
The spelling of 149486573537280 in words is "one hundred forty-nine trillion, four hundred eighty-six billion, five hundred seventy-three million, five hundred thirty-seven thousand, two hundred eighty".
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