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13535530340 = 2256130013697
BaseRepresentation
bin11001001101100011…
…11100110101100100
31021221022111011222112
430212301330311210
5210210043432330
610115041220152
7656265052403
oct144661746544
937838434875
1013535530340
1158164aa312
122759031658
131379317067
1492592d63a
15543487795
hex326c7cd64

13535530340 has 48 divisors (see below), whose sum is σ = 28908035184. Its totient is φ = 5322240000.

The previous prime is 13535530331. The next prime is 13535530361. The reversal of 13535530340 is 4303553531.

It can be written as a sum of positive squares in 8 ways, for example, as 4251822436 + 9283707904 = 65206^2 + 96352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13535530297 and 13535530306.

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, 3659372 + ... + 3663068.

It is an arithmetic number, because the mean of its divisors is an integer number (602250733).

Almost surely, 213535530340 is an apocalyptic number.

13535530340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535530340 is an abundant number, since it is smaller than the sum of its proper divisors (15372504844).

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

13535530340 is a wasteful number, since it uses less digits than its factorization.

13535530340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 32.

The spelling of 13535530340 in words is "thirteen billion, five hundred thirty-five million, five hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 3001 3697 6002 7394 12004 14788 15005 18485 30010 36970 60020 73940 183061 225517 366122 451034 732244 902068 915305 1127585 1830610 2255170 3661220 4510340 11094697 22189394 44378788 55473485 110946970 221893940 676776517 1353553034 2707106068 3383882585 6767765170 13535530340