Search a number
-
+
13048019460360 = 23325316591774169
BaseRepresentation
bin1011110111011111101010…
…0100001010000100001000
31201012101012220120212021100
42331313322210022010020
53202234320440212420
643430102152141400
72514455041313163
oct275677244120410
951171186525240
1013048019460360
1141806a7908025
121568963397860
137385663056a1
143317556c4ada
15179620210190
hexbddfa90a108

13048019460360 has 192 divisors, whose sum is σ = 43840450368000. Its totient is φ = 3362119326720.

The previous prime is 13048019460319. The next prime is 13048019460361. The reversal of 13048019460360 is 6306491084031.

13048019460360 is a `hidden beast` number, since 1 + 3 + 0 + 48 + 0 + 194 + 60 + 360 = 666.

It is a super-2 number, since 2×130480194603602 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13048019460361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6467356 + ... + 8241524.

It is an arithmetic number, because the mean of its divisors is an integer number (228335679000).

Almost surely, 213048019460360 is an apocalyptic number.

13048019460360 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 13048019460360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21920225184000).

13048019460360 is an abundant number, since it is smaller than the sum of its proper divisors (30792430907640).

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

13048019460360 is a wasteful number, since it uses less digits than its factorization.

13048019460360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774876 (or 1774869 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13048019460360 in words is "thirteen trillion, forty-eight billion, nineteen million, four hundred sixty thousand, three hundred sixty".