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13116433728 = 2631733311193
BaseRepresentation
bin11000011011100110…
…01110010101000000
31020212002212212111210
430031303032111000
5203330301334403
610005310410120
7643015563366
oct141563162500
936762785453
1013116433728
115620980882
122660800940
13131054a5b8
148c5dd7636
1551b7a0b03
hex30dcce540

13116433728 has 112 divisors (see below), whose sum is σ = 35039295936. Its totient is φ = 4330106880.

The previous prime is 13116433709. The next prime is 13116433739. The reversal of 13116433728 is 82733461131.

It is a Cunningham number, because it is equal to 1145272-1.

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, 10993900 + ... + 10995092.

Almost surely, 213116433728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13116433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519647968).

13116433728 is an abundant number, since it is smaller than the sum of its proper divisors (21922862208).

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

13116433728 is a wasteful number, since it uses less digits than its factorization.

13116433728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1702 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

Adding to 13116433728 its reverse (82733461131), we get a palindrome (95849894859).

The spelling of 13116433728 in words is "thirteen billion, one hundred sixteen million, four hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 331 346 519 662 692 993 1038 1193 1324 1384 1986 2076 2386 2648 2768 3579 3972 4152 4772 5296 5536 7158 7944 8304 9544 10592 11072 14316 15888 16608 19088 21184 28632 31776 33216 38176 57263 57264 63552 76352 114526 114528 171789 206389 229052 229056 343578 394883 412778 458104 619167 687156 789766 825556 916208 1184649 1238334 1374312 1579532 1651112 1832416 2369298 2476668 2748624 3159064 3302224 3664832 4738596 4953336 5497248 6318128 6604448 9477192 9906672 10994496 12636256 13208896 18954384 19813344 25272512 37908768 39626688 68314759 75817536 136629518 204944277 273259036 409888554 546518072 819777108 1093036144 1639554216 2186072288 3279108432 4372144576 6558216864 13116433728