Search a number
-
+
4426651887840 = 2533571317247829
BaseRepresentation
bin100000001101010100100…
…0000110110100011100000
3120200011221222111020212000
41000122221000312203200
51040011240340402330
613225324212404000
7634546363135050
oct100325100664340
916604858436760
104426651887840
111457372651856
125b5ab8916600
1326157bc727c0
14114373009560
157a2325c4560
hex406a90368e0

4426651887840 has 2304 divisors, whose sum is σ = 20712261427200. Its totient is φ = 859294531584.

The previous prime is 4426651887817. The next prime is 4426651887923. The reversal of 4426651887840 is 487881566244.

It is a happy number.

4426651887840 is a `hidden beast` number, since 4 + 4 + 2 + 6 + 6 + 518 + 8 + 78 + 40 = 666.

It is a super-2 number, since 2×44266518878402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5339748546 + ... + 5339749374.

It is an arithmetic number, because the mean of its divisors is an integer number (8989696800).

Almost surely, 24426651887840 is an apocalyptic number.

4426651887840 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 4426651887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10356130713600).

4426651887840 is an abundant number, since it is smaller than the sum of its proper divisors (16285609539360).

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

4426651887840 is a wasteful number, since it uses less digits than its factorization.

4426651887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 4426651887840 in words is "four trillion, four hundred twenty-six billion, six hundred fifty-one million, eight hundred eighty-seven thousand, eight hundred forty".