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115445659448 = 23717672397573
BaseRepresentation
bin110101110000100011…
…0001111011100111000
3102000222121101010202202
41223201012033130320
53342413042100243
6125011321045332
711224564625420
oct1534106173470
9360877333682
10115445659448
1144a62079709
121a45a626848
13ab6a7958c2
145832533480
15300a2314b8
hex1ae118f738

115445659448 has 128 divisors (see below), whose sum is σ = 266992588800. Its totient is φ = 45673334784.

The previous prime is 115445659423. The next prime is 115445659453. The reversal of 115445659448 is 844956544511.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 115445659393 and 115445659402.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 15240590 + ... + 15248162.

It is an arithmetic number, because the mean of its divisors is an integer number (2085879600).

Almost surely, 2115445659448 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 115445659448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133496294400).

115445659448 is an abundant number, since it is smaller than the sum of its proper divisors (151546929352).

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

115445659448 is a wasteful number, since it uses less digits than its factorization.

115445659448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7909 (or 7905 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 56.

The spelling of 115445659448 in words is "one hundred fifteen billion, four hundred forty-five million, six hundred fifty-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 67 68 119 134 136 238 239 268 469 476 478 536 938 952 956 1139 1673 1876 1912 2278 3346 3752 4063 4556 6692 7573 7973 8126 9112 13384 15146 15946 16013 16252 28441 30292 31892 32026 32504 53011 56882 60584 63784 64052 106022 112091 113764 128104 128741 212044 224182 227528 257482 272221 424088 448364 507391 514964 544442 896728 901187 1014782 1029928 1088884 1802374 1809947 1905547 2029564 2177768 3551737 3604748 3619894 3811094 4059128 7103474 7209496 7239788 7622188 8625647 12669629 14206948 14479576 15244376 17251294 25339258 28413896 30769099 34502588 50678516 60379529 61538198 69005176 101357032 120759058 121266449 123076396 215383693 241518116 242532898 246152792 430767386 483036232 485065796 848865143 861534772 970131592 1697730286 1723069544 2061529633 3395460572 4123059266 6790921144 8246118532 14430707431 16492237064 28861414862 57722829724 115445659448