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13300730205616 = 2472176911444217
BaseRepresentation
bin1100000110001101000101…
…0011001001010110110000
31202002112111202102211211001
43001203101103021112300
53220404343413034431
644142134320331344
72541642331231300
oct301432123112660
952075452384731
1013300730205616
1142688984a7307
1215a992b773b54
1375633ab70b49
1433da8a125600
15180eb0ed2e61
hexc18d14c95b0

13300730205616 has 120 divisors (see below), whose sum is σ = 31786880013936. Its totient is φ = 5357232599040.

The previous prime is 13300730205593. The next prime is 13300730205617. The reversal of 13300730205616 is 61650203700331.

It is not an unprimeable number, because it can be changed into a prime (13300730205617) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8487540 + ... + 9931756.

Almost surely, 213300730205616 is an apocalyptic number.

13300730205616 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 13300730205616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15893440006968).

13300730205616 is an abundant number, since it is smaller than the sum of its proper divisors (18486149808320).

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

13300730205616 is a wasteful number, since it uses less digits than its factorization.

13300730205616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444947 (or 1444934 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

Adding to 13300730205616 its reverse (61650203700331), we get a palindrome (74950933905947).

The spelling of 13300730205616 in words is "thirteen trillion, three hundred billion, seven hundred thirty million, two hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 691 784 833 952 1382 1666 1904 2764 3332 4837 5528 6664 9674 11056 11747 13328 19348 23494 33859 38696 46988 67718 77392 82229 93976 135436 164458 187952 270872 328916 541744 575603 657832 1151206 1315664 1444217 2302412 2888434 4604824 5776868 9209648 10109519 11553736 20219038 23107472 24551689 40438076 49103378 70766633 80876152 98206756 141533266 161752304 171861823 196413512 283066532 343723646 392827024 566133064 687447292 997953947 1132266128 1203032761 1374894584 1995907894 2406065522 2749789168 3991815788 4812131044 6985677629 7983631576 9624262088 13971355258 15967263152 16965217099 19248524176 27942710516 33930434198 48899743403 55885421032 67860868396 97799486806 111770842064 118756519693 135721736792 195598973612 237513039386 271443473584 391197947224 475026078772 782395894448 831295637851 950052157544 1662591275702 1900104315088 3325182551404 6650365102808 13300730205616