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115352660544 = 26311541100957
BaseRepresentation
bin110101101101110001…
…1011110101001000000
3102000202010101022020220
41223123203132221000
53342220240114134
6124554155503040
711222355302532
oct1533343365100
9360663338226
10115352660544
1144a1462a210
121a433457a80
13ab54433974
145824045852
153001eb1149
hex1adb8dea40

115352660544 has 112 divisors (see below), whose sum is σ = 333568462656. Its totient is φ = 34890393600.

The previous prime is 115352660539. The next prime is 115352660573. The reversal of 115352660544 is 445066253511.

It is a junction number, because it is equal to n+sod(n) for n = 115352660496 and 115352660505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1092114 + ... + 1193070.

Almost surely, 2115352660544 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 115352660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166784231328).

115352660544 is an abundant number, since it is smaller than the sum of its proper divisors (218215802112).

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

115352660544 is a wasteful number, since it uses less digits than its factorization.

115352660544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101524 (or 101514 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 115352660544 in words is "one hundred fifteen billion, three hundred fifty-two million, six hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 541 704 1056 1082 1623 2112 2164 3246 4328 5951 6492 8656 11902 12984 17312 17853 23804 25968 34624 35706 47608 51936 71412 95216 100957 103872 142824 190432 201914 285648 302871 380864 403828 571296 605742 807656 1110527 1142592 1211484 1615312 2221054 2422968 3230624 3331581 4442108 4845936 6461248 6663162 8884216 9691872 13326324 17768432 19383744 26652648 35536864 53305296 54617737 71073728 106610592 109235474 163853211 213221184 218470948 327706422 436941896 600795107 655412844 873883792 1201590214 1310825688 1747767584 1802385321 2403180428 2621651376 3495535168 3604770642 4806360856 5243302752 7209541284 9612721712 10486605504 14419082568 19225443424 28838165136 38450886848 57676330272 115352660544