Search a number
-
+
18058856508 = 223272112196173
BaseRepresentation
bin10000110100011001…
…000100100000111100
31201121112220221222100
4100310121010200330
5243441031402013
612143543545100
71206341514300
oct206431044074
951545827870
1018058856508
117727832200
1235bba5b190
13191a499c14
14c3458bd00
1570a632473
hex43464483c

18058856508 has 648 divisors, whose sum is σ = 63302562960. Its totient is φ = 4311014400.

The previous prime is 18058856507. The next prime is 18058856531. The reversal of 18058856508 is 80565885081.

It is a happy number.

18058856508 is a `hidden beast` number, since 1 + 8 + 0 + 5 + 88 + 56 + 508 = 666.

It is a super-2 number, since 2×180588565082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18058856507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 247381560 + ... + 247381632.

Almost surely, 218058856508 is an apocalyptic number.

18058856508 is a gapful number since it is divisible by the number (18) 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 18058856508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31651281480).

18058856508 is an abundant number, since it is smaller than the sum of its proper divisors (45243706452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18058856508 is a wasteful number, since it uses less digits than its factorization.

18058856508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 54.

The spelling of 18058856508 in words is "eighteen billion, fifty-eight million, eight hundred fifty-six thousand, five hundred eight".