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13343250400 = 2552132712569
BaseRepresentation
bin11000110110101000…
…11101011111100000
31021102220200100111021
430123110131133200
5204311333003100
610044012055224
7651441520444
oct143324353740
937386610437
1013343250400
115727a0a577
122704764514
13134853394c
1490819a824
15531655a1a
hex31b51d7e0

13343250400 has 72 divisors (see below), whose sum is σ = 32601350880. Its totient is φ = 5332853760.

The previous prime is 13343250391. The next prime is 13343250419. The reversal of 13343250400 is 405234331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1055316 + ... + 1067884.

It is an arithmetic number, because the mean of its divisors is an integer number (452796540).

Almost surely, 213343250400 is an apocalyptic number.

13343250400 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 13343250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16300675440).

13343250400 is an abundant number, since it is smaller than the sum of its proper divisors (19258100480).

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

13343250400 is a wasteful number, since it uses less digits than its factorization.

13343250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13916 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 13343250400 its reverse (405234331), we get a palindrome (13748484731).

The spelling of 13343250400 in words is "thirteen billion, three hundred forty-three million, two hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1327 2654 5308 6635 10616 12569 13270 21232 25138 26540 33175 42464 50276 53080 62845 66350 100552 106160 125690 132700 201104 212320 251380 265400 314225 402208 502760 530800 628450 1005520 1061600 1256900 2011040 2513800 5027600 10055200 16679063 33358126 66716252 83395315 133432504 166790630 266865008 333581260 416976575 533730016 667162520 833953150 1334325040 1667906300 2668650080 3335812600 6671625200 13343250400