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113552024672352 = 2537516473271753
BaseRepresentation
bin11001110100011001100100…
…000110000001100001100000
3112220001110121211121221202110
4121310121210012001201200
5104340414021304003402
61041301025135515320
732626602012210030
oct3164314406014140
9486043554557673
10113552024672352
11331aa1636a5752
121089b187388b40
134b48baa2c4206
142007d396298c0
15d1db3706756c
hex674664181860

113552024672352 has 96 divisors (see below), whose sum is σ = 340662773993472. Its totient is φ = 32442797528064.

The previous prime is 113552024672299. The next prime is 113552024672413. The reversal of 113552024672352 is 253276420255311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 33070908 + ... + 36342660.

It is an arithmetic number, because the mean of its divisors is an integer number (3548570562432).

Almost surely, 2113552024672352 is an apocalyptic number.

113552024672352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113552024672352 is an abundant number, since it is smaller than the sum of its proper divisors (227110749321120).

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

113552024672352 is a wasteful number, since it uses less digits than its factorization.

113552024672352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323420 (or 3323412 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 113552024672352 in words is "one hundred thirteen trillion, five hundred fifty-two billion, twenty-four million, six hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 51647 103294 154941 206588 309882 361529 413176 619764 723058 826352 1084587 1239528 1446116 1652704 2169174 2479056 2892232 3271753 4338348 4958112 5784464 6543506 8676696 9815259 11568928 13087012 17353392 19630518 22902271 26174024 34706784 39261036 45804542 52348048 68706813 78522072 91609084 104696096 137413626 157044144 183218168 274827252 314088288 366436336 549654504 732872672 1099309008 2198618016 168976227191 337952454382 506928681573 675904908764 1013857363146 1182833590337 1351809817528 2027714726292 2365667180674 2703619635056 3548500771011 4055429452584 4731334361348 5407239270112 7097001542022 8110858905168 9462668722696 14194003084044 16221717810336 18925337445392 28388006168088 37850674890784 56776012336176 113552024672352