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113542513025520 = 24353113167480329
BaseRepresentation
bin11001110100010000101101…
…001001111110000111110000
3112220000120001221210020020110
4121310100231021332013300
5104340240031313304040
61041252413240141320
732626114214433165
oct3164205511760760
9486016057706213
10113542513025520
11331a61226126a7
1210899371a67840
134b48022841817
1420076b62aa06c
15d1d77bec1980
hex67442d27e1f0

113542513025520 has 160 divisors (see below), whose sum is σ = 353225797816320. Its totient is φ = 30171054008320.

The previous prime is 113542513025483. The next prime is 113542513025527. The reversal of 113542513025520 is 25520315245311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113542513025527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236144716 + ... + 236625044.

It is an arithmetic number, because the mean of its divisors is an integer number (2207661236352).

Almost surely, 2113542513025520 is an apocalyptic number.

113542513025520 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 113542513025520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176612898908160).

113542513025520 is an abundant number, since it is smaller than the sum of its proper divisors (239683284790800).

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

113542513025520 is a wasteful number, since it uses less digits than its factorization.

113542513025520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483823 (or 483817 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 113542513025520 in words is "one hundred thirteen trillion, five hundred forty-two billion, five hundred thirteen million, twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 622 933 1244 1555 1866 2488 3110 3167 3732 4665 4976 6220 6334 7464 9330 9501 12440 12668 14928 15835 18660 19002 24880 25336 31670 37320 38004 47505 50672 63340 74640 76008 95010 126680 152016 190020 253360 380040 480329 760080 960658 984937 1440987 1921316 1969874 2401645 2881974 2954811 3842632 3939748 4803290 4924685 5763948 5909622 7204935 7685264 7879496 9606580 9849370 11527896 11819244 14409870 14774055 15758992 19213160 19698740 23055792 23638488 28819740 29548110 38426320 39397480 47276976 57639480 59096220 78794960 115278960 118192440 149382319 236384880 298764638 448146957 597529276 746911595 896293914 1195058552 1493823190 1521201943 1792587828 2240734785 2390117104 2987646380 3042403886 3585175656 4481469570 4563605829 5975292760 6084807772 7170351312 7606009715 8962939140 9127211658 11950585520 12169615544 15212019430 17925878280 18254423316 22818029145 24339231088 30424038860 35851756560 36508846632 45636058290 60848077720 73017693264 91272116580 121696155440 182544233160 365088466320 473093804273 946187608546 1419281412819 1892375217092 2365469021365 2838562825638 3784750434184 4730938042730 5677125651276 7096407064095 7569500868368 9461876085460 11354251302552 14192814128190 18923752170920 22708502605104 28385628256380 37847504341840 56771256512760 113542513025520