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6674440400440 = 235574329054677
BaseRepresentation
bin110000100100000001110…
…1001100010111000111000
3212122001220020010202112121
41201020003221202320320
51333323223220303230
622110110125251024
71256132566220551
oct141100351427070
925561806122477
106674440400440
11214368367064a
128b9674703a74
13395521371817
1419108a6bd328
15b893e18077a
hex61203a62e38

6674440400440 has 32 divisors (see below), whose sum is σ = 15020106338880. Its totient is φ = 2669311193472.

The previous prime is 6674440400429. The next prime is 6674440400443. The reversal of 6674440400440 is 440040444766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6674440400443) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 14297619 + ... + 14757058.

It is an arithmetic number, because the mean of its divisors is an integer number (469378323090).

Almost surely, 26674440400440 is an apocalyptic number.

It is an amenable number.

6674440400440 is an abundant number, since it is smaller than the sum of its proper divisors (8345665938440).

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

6674440400440 is a wasteful number, since it uses less digits than its factorization.

6674440400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29060431 (or 29060427 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 43.

The spelling of 6674440400440 in words is "six trillion, six hundred seventy-four billion, four hundred forty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 5743 11486 22972 28715 45944 57430 114860 229720 29054677 58109354 116218708 145273385 232437416 290546770 581093540 1162187080 166861010011 333722020022 667444040044 834305050055 1334888080088 1668610100110 3337220200220 6674440400440