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115472505616 = 24132314133599
BaseRepresentation
bin110101110001010110…
…0101001101100010000
3102001001110220001210021
41223202230221230100
53342441430134431
6125014120313224
711225342050216
oct1534254515420
9361043801707
10115472505616
1144a76245626
121a467612814
13ab73205200
145835d20cb6
15300c785b11
hex1ae2b29b10

115472505616 has 120 divisors (see below), whose sum is σ = 256183603200. Its totient is φ = 50316364800.

The previous prime is 115472505563. The next prime is 115472505637. The reversal of 115472505616 is 616505274511.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3419985 + ... + 3453583.

It is an arithmetic number, because the mean of its divisors is an integer number (2134863360).

Almost surely, 2115472505616 is an apocalyptic number.

115472505616 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 115472505616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128091801600).

115472505616 is an abundant number, since it is smaller than the sum of its proper divisors (140711097584).

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

115472505616 is a wasteful number, since it uses less digits than its factorization.

115472505616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33705 (or 33686 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 43.

The spelling of 115472505616 in words is "one hundred fifteen billion, four hundred seventy-two million, five hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 41 52 62 82 104 124 164 169 208 248 328 338 403 496 533 656 676 806 1066 1271 1352 1612 2132 2542 2704 3224 4264 5084 5239 6448 6929 8528 10168 10478 13858 16523 20336 20956 27716 33046 33599 41912 55432 66092 67198 83824 110864 132184 134396 214799 264368 268792 429598 436787 537584 859196 873574 1041569 1377559 1718392 1747148 2083138 2755118 3436784 3494296 4166276 5510236 5678231 6988592 8332552 11020472 11356462 13540397 16665104 17908267 22040944 22712924 27080794 35816534 42704329 45425848 54161588 71633068 85408658 90851696 108323176 143266136 170817316 176025161 216646352 232807471 286532272 341634632 352050322 465614942 555156277 683269264 704100644 931229884 1110312554 1408201288 1862459768 2220625108 2816402576 3724919536 4441250216 7217031601 8882500432 14434063202 28868126404 57736252808 115472505616