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24404004020 = 22511293825079
BaseRepresentation
bin10110101110100101…
…111000110010110100
32022222202102212000202
4112232211320302310
5344434411112040
615113330300032
71522516416524
oct265645706264
968882385022
1024404004020
11a393473470
124890a27618
1323bbc10286
141277163684
1597c6e6015
hex5ae978cb4

24404004020 has 48 divisors (see below), whose sum is σ = 57835209600. Its totient is φ = 8568174720.

The previous prime is 24404004013. The next prime is 24404004041. The reversal of 24404004020 is 2040040442.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 24404003983 and 24404004001.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1906160 + ... + 1918919.

It is an arithmetic number, because the mean of its divisors is an integer number (1204900200).

Almost surely, 224404004020 is an apocalyptic number.

24404004020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24404004020 is an abundant number, since it is smaller than the sum of its proper divisors (33431205580).

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

24404004020 is a wasteful number, since it uses less digits than its factorization.

24404004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825128 (or 3825126 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 24404004020 its reverse (2040040442), we get a palindrome (26444044462).

The spelling of 24404004020 in words is "twenty-four billion, four hundred four million, four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 3825079 7650158 15300316 19125395 38250790 42075869 76501580 84151738 110927291 168303476 210379345 221854582 420758690 443709164 554636455 841517380 1109272910 1220200201 2218545820 2440400402 4880800804 6101001005 12202002010 24404004020