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13343763420 = 22345132174761
BaseRepresentation
bin11000110110101100…
…11010101111011100
31021102221122102020000
430123112122233130
5204312000412140
610044031054300
7651446055231
oct143326325734
937387572200
1013343763420
11572822aa59
122704971390
131348683300
14908291788
15531707a30
hex31b59abdc

13343763420 has 720 divisors, whose sum is σ = 49818561408. Its totient is φ = 2976030720.

The previous prime is 13343763353. The next prime is 13343763427. The reversal of 13343763420 is 2436734331.

13343763420 is a `hidden beast` number, since 13 + 3 + 4 + 3 + 7 + 634 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13343763427) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 218750190 + ... + 218750250.

Almost surely, 213343763420 is an apocalyptic number.

13343763420 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 13343763420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909280704).

13343763420 is an abundant number, since it is smaller than the sum of its proper divisors (36474797988).

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

13343763420 is a wasteful number, since it uses less digits than its factorization.

13343763420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The spelling of 13343763420 in words is "thirteen billion, three hundred forty-three million, seven hundred sixty-three thousand, four hundred twenty".