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113552533555340 = 22511334912222593
BaseRepresentation
bin11001110100011010000010…
…011011010000100010001100
3112220001111221022011212222112
4121310122002123100202030
5104340421042042232330
61041301151435003152
732626620431511635
oct3164320233204214
9486044838155875
10113552533555340
11331aa3a497a000
121089b2a98994b8
134b48c5b8695c9
142007d8705488c
15d1db66a87795
hex6746826d088c

113552533555340 has 96 divisors (see below), whose sum is σ = 263040000955200. Its totient is φ = 41173512314880.

The previous prime is 113552533555339. The next prime is 113552533555379. The reversal of 113552533555340 is 43555335255311.

It is a happy number.

It is a super-3 number, since 3×1135525335553403 (a number of 43 digits) contains 333 as substring.

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, 3179084 + ... + 15401676.

It is an arithmetic number, because the mean of its divisors is an integer number (2740000009950).

Almost surely, 2113552533555340 is an apocalyptic number.

113552533555340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113552533555340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131520000477600).

113552533555340 is an abundant number, since it is smaller than the sum of its proper divisors (149487467399860).

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

113552533555340 is a wasteful number, since it uses less digits than its factorization.

113552533555340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222984 (or 12222960 counting only the distinct ones).

The product of its (nonzero) digits is 10125000, while the sum is 50.

The spelling of 113552533555340 in words is "one hundred thirteen trillion, five hundred fifty-two billion, five hundred thirty-three million, five hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 349 484 605 698 1210 1331 1396 1745 2420 2662 3490 3839 5324 6655 6980 7678 13310 15356 19195 26620 38390 42229 76780 84458 168916 211145 422290 464519 844580 929038 1858076 2322595 4645190 9290380 12222593 24445186 48890372 61112965 122225930 134448523 244451860 268897046 537794092 672242615 1344485230 1478933753 2688970460 2957867506 4265684957 5915735012 7394668765 8531369914 14789337530 16268271283 17062739828 21328424785 29578675060 32536542566 42656849570 46922534527 65073085132 81341356415 85313699140 93845069054 162682712830 187690138108 234612672635 325365425660 469225345270 516147879797 938450690540 1032295759594 2064591519188 2580739398985 5161478797970 5677626677767 10322957595940 11355253355534 22710506711068 28388133388835 56776266777670 113552533555340