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12936615936 = 211317211587
BaseRepresentation
bin11000000110001010…
…10001100000000000
31020101120112011212120
430003011101200000
5202443233202221
65535404324240
7635403264306
oct140305214000
936346464776
1012936615936
115539423032
122610543680
1312b220b63a
148aa18a276
1550aad15c6
hex303151800

12936615936 has 192 divisors, whose sum is σ = 36753575040. Its totient is φ = 4032430080.

The previous prime is 12936615893. The next prime is 12936615947. The reversal of 12936615936 is 63951663921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 22038235 + ... + 22038821.

It is an arithmetic number, because the mean of its divisors is an integer number (191424870).

Almost surely, 212936615936 is an apocalyptic number.

12936615936 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 12936615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376787520).

12936615936 is an abundant number, since it is smaller than the sum of its proper divisors (23816959104).

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

12936615936 is a wasteful number, since it uses less digits than its factorization.

12936615936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 820 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 51.

The spelling of 12936615936 in words is "twelve billion, nine hundred thirty-six million, six hundred fifteen thousand, nine hundred thirty-six".