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115455631615104 = 27311179152699699
BaseRepresentation
bin11010010000000110011011…
…111010001110010010000000
3120010210110011110221010202010
4122100012123322032102000
5110113111113143140404
61045315330203052520
733214252116225504
oct3220063372162200
9503713143833663
10115455631615104
1133873505140960
1210b480a9511140
134c5655b3ba0b1
1420721220d4304
15d533ec7de189
hex69019be8e480

115455631615104 has 128 divisors (see below), whose sum is σ = 336427979040000. Its totient is φ = 34791099192320.

The previous prime is 115455631615099. The next prime is 115455631615117. The reversal of 115455631615104 is 401516136554511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 75593754 + ... + 77105945.

It is an arithmetic number, because the mean of its divisors is an integer number (2628343586250).

Almost surely, 2115455631615104 is an apocalyptic number.

It is an amenable number.

115455631615104 is an abundant number, since it is smaller than the sum of its proper divisors (220972347424896).

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

115455631615104 is a wasteful number, since it uses less digits than its factorization.

115455631615104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152699906 (or 152699894 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 48.

The spelling of 115455631615104 in words is "one hundred fifteen trillion, four hundred fifty-five billion, six hundred thirty-one million, six hundred fifteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 179 192 264 352 358 384 528 537 704 716 1056 1074 1408 1432 1969 2112 2148 2864 3938 4224 4296 5728 5907 7876 8592 11456 11814 15752 17184 22912 23628 31504 34368 47256 63008 68736 94512 126016 189024 252032 378048 756096 152699699 305399398 458099097 610798796 916198194 1221597592 1679696689 1832396388 2443195184 3359393378 3664792776 4886390368 5039090067 6718786756 7329585552 9772780736 10078180134 13437573512 14659171104 19545561472 20156360268 26875147024 27333246121 29318342208 40312720536 53750294048 54666492242 58636684416 80625441072 81999738363 107500588096 109332984484 161250882144 163999476726 215001176192 218665968968 300665707331 322501764288 327998953452 437331937936 601331414662 645003528576 655997906904 874663875872 901997121993 1202662829324 1311995813808 1749327751744 1803994243986 2405325658648 2623991627616 3498655503488 3607988487972 4810651317296 5247983255232 7215976975944 9621302634592 10495966510464 14431953951888 19242605269184 28863907903776 38485210538368 57727815807552 115455631615104