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420843418471704 = 233434726936787887
BaseRepresentation
bin101111110110000010011111…
…0011101101100110100011000
32001012002020102102101020212210
41133230010332131230310120
5420130044310112043304
64051020444130035120
7154433635141460004
oct13754047635546430
92035066372336783
10420843418471704
111121037673a8898
123b24a335418aa0
13150a9496b53117
1475ccd04413704
15339c182e43c89
hex17ec13e76cd18

420843418471704 has 256 divisors, whose sum is σ = 1106588948889600. Its totient is φ = 133239405777408.

The previous prime is 420843418471699. The next prime is 420843418471733. The reversal of 420843418471704 is 407174814348024.

It is a super-2 number, since 2×4208434184717042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4788416449 + ... + 4788504335.

It is an arithmetic number, because the mean of its divisors is an integer number (4322613081600).

Almost surely, 2420843418471704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420843418471704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553294474444800).

420843418471704 is an abundant number, since it is smaller than the sum of its proper divisors (685745530417896).

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

420843418471704 is a wasteful number, since it uses less digits than its factorization.

420843418471704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88622 (or 88618 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 57.

The spelling of 420843418471704 in words is "four hundred twenty trillion, eight hundred forty-three billion, four hundred eighteen million, four hundred seventy-one thousand, seven hundred four".