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13535530032 = 2433727192803
BaseRepresentation
bin11001001101100011…
…11100110000110000
31021221022111011120010
430212301330300300
5210210043430112
610115041214520
7656265051453
oct144661746060
937838434503
1013535530032
1158164aa062
122759031440
131379316b8b
1492592d49a
1554348763c
hex326c7cc30

13535530032 has 80 divisors (see below), whose sum is σ = 35937858560. Its totient is φ = 4386721536.

The previous prime is 13535530007. The next prime is 13535530051. The reversal of 13535530032 is 23003553531.

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, 4827543 + ... + 4830345.

It is an arithmetic number, because the mean of its divisors is an integer number (449223232).

Almost surely, 213535530032 is an apocalyptic number.

13535530032 is a gapful number since it is divisible by the number (12) 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 13535530032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17968929280).

13535530032 is an abundant number, since it is smaller than the sum of its proper divisors (22402328528).

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

13535530032 is a wasteful number, since it uses less digits than its factorization.

13535530032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 30.

The spelling of 13535530032 in words is "thirteen billion, five hundred thirty-five million, five hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2719 2803 5438 5606 8157 8409 10876 11212 16314 16818 21752 22424 32628 33636 43504 44848 65256 67272 100603 103711 130512 134544 201206 207422 301809 311133 402412 414844 603618 622266 804824 829688 1207236 1244532 1609648 1659376 2414472 2489064 4828944 4978128 7621357 15242714 22864071 30485428 45728142 60970856 91456284 121941712 182912568 281990209 365825136 563980418 845970627 1127960836 1691941254 2255921672 3383882508 4511843344 6767765016 13535530032