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16774344040 = 2351724668153
BaseRepresentation
bin11111001111101010…
…00010110101101000
31121022000212222010111
433213311002311220
5233323213002130
611412300224104
71132453400056
oct174765026550
947260788114
1016774344040
117128752a53
12330183b034
13177432547c
14b51b3d1d6
156829a102a
hex3e7d42d68

16774344040 has 32 divisors (see below), whose sum is σ = 39962409480. Its totient is φ = 6315046912.

The previous prime is 16774344017. The next prime is 16774344043. The reversal of 16774344040 is 4044347761.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16582743076 + 191600964 = 128774^2 + 13842^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 16774343984 and 16774344002.

It is not an unprimeable number, because it can be changed into a prime (16774344043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12333397 + ... + 12334756.

Almost surely, 216774344040 is an apocalyptic number.

16774344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16774344040 is an abundant number, since it is smaller than the sum of its proper divisors (23188065440).

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

16774344040 is a wasteful number, since it uses less digits than its factorization.

16774344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24668181 (or 24668177 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 40.

The spelling of 16774344040 in words is "sixteen billion, seven hundred seventy-four million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 24668153 49336306 98672612 123340765 197345224 246681530 419358601 493363060 838717202 986726120 1677434404 2096793005 3354868808 4193586010 8387172020 16774344040