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13689987696 = 24327211233757
BaseRepresentation
bin11001011111111110…
…01010001001110000
31022100002010102122100
430233333022021300
5211014114101241
610142235540400
7663151655400
oct145777121160
938302112570
1013689987696
115895706420
1227a08ba700
1313a2316a48
1493c258800
15551ce79b6
hex32ffca270

13689987696 has 360 divisors, whose sum is σ = 48892946544. Its totient is φ = 3535902720.

The previous prime is 13689987667. The next prime is 13689987763. The reversal of 13689987696 is 69678998631.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 18084150 + ... + 18084906.

Almost surely, 213689987696 is an apocalyptic number.

13689987696 is a gapful number since it is divisible by the number (16) 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 13689987696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24446473272).

13689987696 is an abundant number, since it is smaller than the sum of its proper divisors (35202958848).

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

13689987696 is a wasteful number, since it uses less digits than its factorization.

13689987696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1013 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

The spelling of 13689987696 in words is "thirteen billion, six hundred eighty-nine million, nine hundred eighty-seven thousand, six hundred ninety-six".