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13680241392 = 2432318476709
BaseRepresentation
bin11001011110110011…
…11110101011110000
31022022101210021020010
430233121332223300
5211004120211032
610141251014520
7663003063456
oct145731765360
938271707203
1013680241392
115890159924
12279959a440
1313a02b37bc
1493ac3c9d6
1555101eccc
hex32f67eaf0

13680241392 has 80 divisors (see below), whose sum is σ = 36902638080. Its totient is φ = 4358804736.

The previous prime is 13680241363. The next prime is 13680241409. The reversal of 13680241392 is 29314208631.

It is a self number, because there is not a number n which added to its sum of digits gives 13680241392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2035734 + ... + 2042442.

It is an arithmetic number, because the mean of its divisors is an integer number (461282976).

Almost surely, 213680241392 is an apocalyptic number.

13680241392 is a gapful number since it is divisible by the number (12) 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 13680241392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451319040).

13680241392 is an abundant number, since it is smaller than the sum of its proper divisors (23222396688).

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

13680241392 is a wasteful number, since it uses less digits than its factorization.

13680241392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8590 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13680241392 in words is "thirteen billion, six hundred eighty million, two hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1847 3694 5541 6709 7388 11082 13418 14776 20127 22164 26836 29552 40254 42481 44328 53672 80508 84962 88656 107344 127443 154307 161016 169924 254886 308614 322032 339848 462921 509772 617228 679696 925842 1019544 1234456 1851684 2039088 2468912 3703368 7406736 12391523 24783046 37174569 49566092 74349138 99132184 148698276 198264368 285005029 297396552 570010058 594793104 855015087 1140020116 1710030174 2280040232 3420060348 4560080464 6840120696 13680241392