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421789909987124 = 227218111889443849
BaseRepresentation
bin101111111100111011001110…
…1110000010010111100110100
32001022102201111001011000200122
41133321312131300102330310
5420241101213424041444
64053023335404031112
7154562213112555200
oct13771663560227464
92038381431130618
10421789909987124
111124391071692a8
123b381863532498
1315147805531763
147622a5219db00
1533b6acbcce4ee
hex17f9d9dc12f34

421789909987124 has 36 divisors (see below), whose sum is σ = 863387633499300. Its totient is φ = 179768390981760.

The previous prime is 421789909987111. The next prime is 421789909987181.

421789909987124 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 94987829668900 + 326802080318224 = 9746170^2 + 18077668^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5944686449 + ... + 5944757400.

It is an arithmetic number, because the mean of its divisors is an integer number (23982989819425).

Almost surely, 2421789909987124 is an apocalyptic number.

It is an amenable number.

421789909987124 is an abundant number, since it is smaller than the sum of its proper divisors (441597723512176).

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

421789909987124 is a wasteful number, since it uses less digits than its factorization.

421789909987124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11889444048 (or 11889444039 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 80.

The spelling of 421789909987124 in words is "four hundred twenty-one trillion, seven hundred eighty-nine billion, nine hundred nine million, nine hundred eighty-seven thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 181 196 362 724 1267 2534 5068 8869 17738 35476 11889443849 23778887698 47557775396 83226106943 166452213886 332904427772 582582748601 1165165497202 2151989336669 2330330994404 4303978673338 8607957346676 15063925356683 30127850713366 60255701426732 105447477496781 210894954993562 421789909987124