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13352412416 = 28710372341
BaseRepresentation
bin11000110111101110…
…11010010100000000
31021110112220211102012
430123313122110000
5204321204144131
610044540312052
7651612430040
oct143367322400
937415824365
1013352412416
1157320a8092
122707842628
13134a3c0c65
149094a3720
1553236552b
hex31bdda500

13352412416 has 72 divisors (see below), whose sum is σ = 30756345984. Its totient is φ = 5666826240.

The previous prime is 13352412413. The next prime is 13352412439. The reversal of 13352412416 is 61421425331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352412413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148406 + ... + 220746.

It is an arithmetic number, because the mean of its divisors is an integer number (427171472).

Almost surely, 213352412416 is an apocalyptic number.

13352412416 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 13352412416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15378172992).

13352412416 is an abundant number, since it is smaller than the sum of its proper divisors (17403933568).

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

13352412416 is an equidigital number, since it uses as much as digits as its factorization.

13352412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72467 (or 72453 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

Adding to 13352412416 its reverse (61421425331), we get a palindrome (74773837747).

The spelling of 13352412416 in words is "thirteen billion, three hundred fifty-two million, four hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 721 824 896 1442 1648 1792 2884 3296 5768 6592 11536 13184 23072 26368 46144 72341 92288 144682 184576 289364 506387 578728 1012774 1157456 2025548 2314912 4051096 4629824 7451123 8102192 9259648 14902246 16204384 18519296 29804492 32408768 52157861 59608984 64817536 104315722 119217968 129635072 208631444 238435936 417262888 476871872 834525776 953743744 1669051552 1907487488 3338103104 6676206208 13352412416