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24252422425242 = 2311619653909091
BaseRepresentation
bin1011000001110101101010…
…00001100000101010011010
310011212111202000111000102120
411200322311001200222122
511134322430120101432
6123325224204442110
75052115431161034
oct540726501405232
9104774660430376
1024252422425242
117800438221890
122878347249336
13106bcbbca926b
145dbb759c8c54
152c0cdb660c2c
hex160eb5060a9a

24252422425242 has 64 divisors (see below), whose sum is σ = 53081081879040. Its totient is φ = 7326101764800.

The previous prime is 24252422425171. The next prime is 24252422425247.

24252422425242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24252422425194 and 24252422425203.

It is not an unprimeable number, because it can be changed into a prime (24252422425247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26223117 + ... + 27132207.

It is an arithmetic number, because the mean of its divisors is an integer number (829391904360).

Almost surely, 224252422425242 is an apocalyptic number.

24252422425242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24252422425242 is an abundant number, since it is smaller than the sum of its proper divisors (28828659453798).

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

24252422425242 is a wasteful number, since it uses less digits than its factorization.

24252422425242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910379.

The product of its digits is 1638400, while the sum is 42.

The spelling of 24252422425242 in words is "twenty-four trillion, two hundred fifty-two billion, four hundred twenty-two million, four hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 619 653 1238 1306 1857 1959 3714 3918 6809 7183 13618 14366 20427 21549 40854 43098 404207 808414 909091 1212621 1818182 2425242 2727273 4446277 5454546 8892554 10000001 13338831 20000002 26677662 30000003 60000006 562727329 593636423 1125454658 1187272846 1688181987 1780909269 3376363974 3561818538 6190000619 6530000653 12380001238 13060001306 18570001857 19590001959 37140003714 39180003918 367460945837 734921891674 1102382837511 2204765675022 4042070404207 8084140808414 12126211212621 24252422425242