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13289212065696 = 2537219967153763
BaseRepresentation
bin1100000101100010001011…
…0000111011011110100000
31202001102210001000201020020
43001120202300323132200
53220212301242100241
644132551342513440
72541054030530400
oct301304260733640
952042701021206
1013289212065696
114263a17842306
1215a7656295880
137552237ac838
1433d2b64da800
15180a39be5b66
hexc1622c3b7a0

13289212065696 has 288 divisors, whose sum is σ = 42759775618560. Its totient is φ = 3593336753664.

The previous prime is 13289212065659. The next prime is 13289212065761. The reversal of 13289212065696 is 69656021298231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86349711 + ... + 86503473.

It is an arithmetic number, because the mean of its divisors is an integer number (148471443120).

Almost surely, 213289212065696 is an apocalyptic number.

13289212065696 is a gapful number since it is divisible by the number (16) 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 13289212065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21379887809280).

13289212065696 is an abundant number, since it is smaller than the sum of its proper divisors (29470563552864).

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

13289212065696 is a wasteful number, since it uses less digits than its factorization.

13289212065696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154776 (or 154761 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 13289212065696 in words is "thirteen trillion, two hundred eighty-nine billion, two hundred twelve million, sixty-five thousand, six hundred ninety-six".