Search a number
-
+
469048081320 = 2333571323593517
BaseRepresentation
bin1101101001101010111…
…00011011101110101000
31122211200202201022221000
412310311130123232220
530141102302100240
6555251104115000
745613306623360
oct6646534335650
91584622638830
10469048081320
11170a16460915
1276aa3305a60
13353007b17b0
14189b85c59a0
15c303674430
hex6d3571bba8

469048081320 has 1024 divisors, whose sum is σ = 2042578944000. Its totient is φ = 93030322176.

The previous prime is 469048081303. The next prime is 469048081391. The reversal of 469048081320 is 23180840964.

It is a happy number.

469048081320 is a `hidden beast` number, since 4 + 6 + 90 + 480 + 81 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×4690480813202 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 133364202 + ... + 133367718.

It is an arithmetic number, because the mean of its divisors is an integer number (1994706000).

Almost surely, 2469048081320 is an apocalyptic number.

469048081320 is a gapful number since it is divisible by the number (40) 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 469048081320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021289472000).

469048081320 is an abundant number, since it is smaller than the sum of its proper divisors (1573530862680).

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

469048081320 is a wasteful number, since it uses less digits than its factorization.

469048081320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 469048081320 in words is "four hundred sixty-nine billion, forty-eight million, eighty-one thousand, three hundred twenty".