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13330157568 = 212372132131
BaseRepresentation
bin11000110101000101…
…00001000000000000
31021102000001011111120
430122202201000000
5204300010020233
610042423312240
7651222320100
oct143242410000
937360034446
1013330157568
115720587752
1227002ab680
1313458cb400
1490654d200
1553041b4b3
hex31a8a1000

13330157568 has 468 divisors, whose sum is σ = 45112489488. Its totient is φ = 3488808960.

The previous prime is 13330157563. The next prime is 13330157597. The reversal of 13330157568 is 86575103331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13330157563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101756863 + ... + 101756993.

Almost surely, 213330157568 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 13330157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22556244744).

13330157568 is an abundant number, since it is smaller than the sum of its proper divisors (31782331920).

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

13330157568 is a wasteful number, since it uses less digits than its factorization.

13330157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 13330157568 in words is "thirteen billion, three hundred thirty million, one hundred fifty-seven thousand, five hundred sixty-eight".