Search a number
-
+
426850495200 = 253652731911
BaseRepresentation
bin1100011011000100100…
…01011010101011100000
31111210202221111212000000
412031202101122223200
523443142211321300
6524031543300000
742560516226063
oct6154221325340
91453687455000
10426850495200
11155031a818a8
126a88744a600
133133736451c
14169342088da
15b183c9ac00
hex636245aae0

426850495200 has 252 divisors, whose sum is σ = 1562360580648. Its totient is φ = 113826643200.

The previous prime is 426850495199. The next prime is 426850495223. The reversal of 426850495200 is 2594058624.

426850495200 is a `hidden beast` number, since 4 + 2 + 6 + 85 + 0 + 49 + 520 + 0 = 666.

It is a super-3 number, since 3×4268504952003 (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 217245 + ... + 949155.

It is an arithmetic number, because the mean of its divisors is an integer number (6199843574).

Almost surely, 2426850495200 is an apocalyptic number.

426850495200 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 426850495200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781180290324).

426850495200 is an abundant number, since it is smaller than the sum of its proper divisors (1135510085448).

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

426850495200 is an equidigital number, since it uses as much as digits as its factorization.

426850495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731949 (or 731921 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 426850495200 in words is "four hundred twenty-six billion, eight hundred fifty million, four hundred ninety-five thousand, two hundred".