Search a number
-
+
18058465850880 = 293571323197661
BaseRepresentation
bin1000001101100100100000…
…11100010011011000000000
32100221101001112102121111010
410012302100130103120000
54331332214224212010
6102223540015120520
73542452422034350
oct406622034233000
970841045377433
1018058465850880
11583260920a384
122037a27813140
13a0cba16bbc00
1446606a5ccb60
15214b1eab8620
hex106c90713600

18058465850880 has 1920 divisors, whose sum is σ = 74621159940096. Its totient is φ = 3643696742400.

The previous prime is 18058465850869. The next prime is 18058465850897. The reversal of 18058465850880 is 8805856485081.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×180584658508802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27319917750 + ... + 27319918410.

Almost surely, 218058465850880 is an apocalyptic number.

18058465850880 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 18058465850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37310579970048).

18058465850880 is an abundant number, since it is smaller than the sum of its proper divisors (56562694089216).

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

18058465850880 is a wasteful number, since it uses less digits than its factorization.

18058465850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 98304000, while the sum is 66.

The spelling of 18058465850880 in words is "eighteen trillion, fifty-eight billion, four hundred sixty-five million, eight hundred fifty thousand, eight hundred eighty".