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13669404480 = 263451972677
BaseRepresentation
bin11001011101100001…
…01000111101000000
31022021122101200210000
430232300220331000
5210443331420410
610140222440000
7662512010124
oct145660507500
938248350700
1013669404480
1158850279a6
122795a33000
13139ac8b024
1493961b584
155500cddc0
hex32ec28f40

13669404480 has 280 divisors, whose sum is σ = 48889557288. Its totient is φ = 3625316352.

The previous prime is 13669404443. The next prime is 13669404499. The reversal of 13669404480 is 8440496631.

It can be written as a sum of positive squares in 4 ways, for example, as 1343075904 + 12326328576 = 36648^2 + 111024^2 .

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5104902 + ... + 5107578.

Almost surely, 213669404480 is an apocalyptic number.

13669404480 is a gapful number since it is divisible by the number (10) 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 13669404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24444778644).

13669404480 is an abundant number, since it is smaller than the sum of its proper divisors (35220152808).

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

13669404480 is a wasteful number, since it uses less digits than its factorization.

13669404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13669404480 in words is "thirteen billion, six hundred sixty-nine million, four hundred four thousand, four hundred eighty".