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13020332032 = 2151972017
BaseRepresentation
bin11000010000001001…
…01000000000000000
31020121102001101202201
430020010220000000
5203131201111112
65551554522544
7640440665461
oct141004500000
936542041681
1013020332032
115581702194
122634596454
1312c66702a6
148b733cd68
1551311b257
hex308128000

13020332032 has 64 divisors (see below), whose sum is σ = 26185426740. Its totient is φ = 6473908224.

The previous prime is 13020332023. The next prime is 13020332047. The reversal of 13020332032 is 23023302031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9891495936 + 3128836096 = 99456^2 + 55936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6454288 + ... + 6456304.

Almost surely, 213020332032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13020332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092713370).

13020332032 is an abundant number, since it is smaller than the sum of its proper divisors (13165094708).

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

13020332032 is an frugal number, since it uses more digits than its factorization.

13020332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 13020332032 its reverse (23023302031), we get a palindrome (36043634063).

The spelling of 13020332032 in words is "thirteen billion, twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 197 256 394 512 788 1024 1576 2017 2048 3152 4034 4096 6304 8068 8192 12608 16136 16384 25216 32272 32768 50432 64544 100864 129088 201728 258176 397349 403456 516352 794698 806912 1032704 1589396 1613824 2065408 3178792 3227648 4130816 6357584 6455296 8261632 12715168 16523264 25430336 33046528 50860672 66093056 101721344 203442688 406885376 813770752 1627541504 3255083008 6510166016 13020332032