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13420984500 = 22335371112911
BaseRepresentation
bin11000111111111001…
…11111100010110100
31021122022221122122000
430133330333202310
5204441233001000
610055430135300
7653404325460
oct143774774264
937568848560
1013420984500
115767883330
1227267b1530
13135b67c861
149146334a0
155383ad000
hex31ff3f8b4

13420984500 has 384 divisors, whose sum is σ = 54143631360. Its totient is φ = 2788560000.

The previous prime is 13420984481. The next prime is 13420984529. The reversal of 13420984500 is 548902431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1033045 + ... + 1045955.

It is an arithmetic number, because the mean of its divisors is an integer number (140999040).

Almost surely, 213420984500 is an apocalyptic number.

13420984500 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 13420984500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27071815680).

13420984500 is an abundant number, since it is smaller than the sum of its proper divisors (40722646860).

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

13420984500 is a wasteful number, since it uses less digits than its factorization.

13420984500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13420984500 in words is "thirteen billion, four hundred twenty million, nine hundred eighty-four thousand, five hundred".