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113856985697728 = 2671320879367331
BaseRepresentation
bin11001111000110101100101…
…001100000000110111000000
3112221010121210002121011221011
4121320311211030000313000
5104410413101314311403
61042053102133010304
732660616150152260
oct3170654514006700
9487117702534834
10113856985697728
11333075271a9819
121092a2b6183994
134b6b88ab867a0
1420189c95a57a0
15d26a3502ea6d
hex678d65300dc0

113856985697728 has 112 divisors (see below), whose sum is σ = 278207062608384. Its totient is φ = 45020736875520.

The previous prime is 113856985697687. The next prime is 113856985697731. The reversal of 113856985697728 is 827796589658311.

It is a tau number, because it is divible by the number of its divisors (112).

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, 7471023 + ... + 16838353.

It is an arithmetic number, because the mean of its divisors is an integer number (2483991630432).

Almost surely, 2113856985697728 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 113856985697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139103531304192).

113856985697728 is an abundant number, since it is smaller than the sum of its proper divisors (164350076910656).

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

113856985697728 is a wasteful number, since it uses less digits than its factorization.

113856985697728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9369450 (or 9369440 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 85.

The spelling of 113856985697728 in words is "one hundred thirteen trillion, eight hundred fifty-six billion, nine hundred eighty-five million, six hundred ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2087 2912 4174 5824 8348 14609 16696 27131 29218 33392 54262 58436 66784 108524 116872 133568 189917 217048 233744 379834 434096 467488 759668 868192 934976 1519336 1736384 3038672 6077344 9367331 12154688 18734662 37469324 65571317 74938648 121775303 131142634 149877296 243550606 262285268 299754592 487101212 524570536 599509184 852427121 974202424 1049141072 1704854242 1948404848 2098282144 3409708484 3896809696 4196564288 6819416968 7793619392 13638833936 19549619797 27277667872 39099239594 54555335744 78198479188 136847338579 156396958376 254145057361 273694677158 312793916752 508290114722 547389354316 625587833504 1016580229444 1094778708632 1251175667008 1779015401527 2033160458888 2189557417264 3558030803054 4066320917776 4379114834528 7116061606108 8132641835552 8758229669056 14232123212216 16265283671104 28464246424432 56928492848864 113856985697728