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1017704000404 = 227213399412873
BaseRepresentation
bin11101100111100111110…
…00101010101110010100
310121021212112121211101201
432303303320222232110
5113133224211003104
62055305440402244
7133345440162400
oct16636370525624
93537775554351
101017704000404
11362673416493
121452a3016384
1374c7a09c120
1437385822100
151b715b510a4
hexecf3e2ab94

1017704000404 has 36 divisors (see below), whose sum is σ = 2231120314164. Its totient is φ = 402608174976.

The previous prime is 1017704000371. The next prime is 1017704000407. The reversal of 1017704000404 is 4040004077101.

It can be written as a sum of positive squares in 2 ways, for example, as 385516810000 + 632187190404 = 620900^2 + 795102^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017704000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199703889 + ... + 199708984.

Almost surely, 21017704000404 is an apocalyptic number.

1017704000404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1017704000404 is an abundant number, since it is smaller than the sum of its proper divisors (1213416313760).

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

1017704000404 is a wasteful number, since it uses less digits than its factorization.

1017704000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399412904 (or 399412895 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

Adding to 1017704000404 its reverse (4040004077101), we get a palindrome (5057708077505).

The spelling of 1017704000404 in words is "one trillion, seventeen billion, seven hundred four million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 399412873 798825746 1597651492 2795890111 5192367349 5591780222 10384734698 11183560444 19571230777 20769469396 36346571443 39142461554 72693142886 78284923108 145386285772 254426000101 508852000202 1017704000404