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13550536230 = 23571129202277
BaseRepresentation
bin11001001111010110…
…01100011000100110
31021222100201120012020
430213223030120212
5210222414124410
610120335004010
7656536441350
oct144753143046
937870646166
1013550536230
115823a19480
122762069606
13137c46c29a
149279180d0
1554494da70
hex327acc626

13550536230 has 128 divisors (see below), whose sum is σ = 41944366080. Its totient is φ = 2718589440.

The previous prime is 13550536213. The next prime is 13550536231. The reversal of 13550536230 is 3263505531.

13550536230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135505362302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13550536191 and 13550536200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13550536231) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 34149 + ... + 168128.

It is an arithmetic number, because the mean of its divisors is an integer number (327690360).

Almost surely, 213550536230 is an apocalyptic number.

13550536230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13550536230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20972183040).

13550536230 is an abundant number, since it is smaller than the sum of its proper divisors (28393829850).

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

13550536230 is a wasteful number, since it uses less digits than its factorization.

13550536230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202334.

The product of its (nonzero) digits is 40500, while the sum is 33.

The spelling of 13550536230 in words is "thirteen billion, five hundred fifty million, five hundred thirty-six thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 29 30 33 35 42 55 58 66 70 77 87 105 110 145 154 165 174 203 210 231 290 319 330 385 406 435 462 609 638 770 870 957 1015 1155 1218 1595 1914 2030 2233 2310 3045 3190 4466 4785 6090 6699 9570 11165 13398 22330 33495 66990 202277 404554 606831 1011385 1213662 1415939 2022770 2225047 2831878 3034155 4247817 4450094 5866033 6068310 6675141 7079695 8495634 11125235 11732066 13350282 14159390 15575329 17598099 21239085 22250470 29330165 31150658 33375705 35196198 41062231 42478170 46725987 58660330 64526363 66751410 77876645 82124462 87990495 93451974 123186693 129052726 155753290 175980990 193579089 205311155 233629935 246373386 322631815 387158178 410622310 451684541 467259870 615933465 645263630 903369082 967895445 1231866930 1355053623 1935790890 2258422705 2710107246 4516845410 6775268115 13550536230