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12937229268480 = 2932511411245037
BaseRepresentation
bin1011110001000010111011…
…1101000111011000000000
31200210210020202021222102100
42330100232331013120000
53143430421143042410
643303140413550400
72503453413236256
oct274205675073000
950723222258370
1012937229268480
114138714716080
12154b3a3aa5400
1372ac8b1ab02a
1432a2455aa5d6
151767d8a7b8c0
hexbc42ef47600

12937229268480 has 480 divisors, whose sum is σ = 50070667334688. Its totient is φ = 3059800473600.

The previous prime is 12937229268451. The next prime is 12937229268487. The reversal of 12937229268480 is 8486292273921.

12937229268480 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 7 + 2 + 2 + 92 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×129372292684802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937229268487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9768522 + ... + 11013558.

Almost surely, 212937229268480 is an apocalyptic number.

12937229268480 is a gapful number since it is divisible by the number (10) 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 12937229268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25035333667344).

12937229268480 is an abundant number, since it is smaller than the sum of its proper divisors (37133438066208).

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

12937229268480 is a wasteful number, since it uses less digits than its factorization.

12937229268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245118 (or 1245099 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 12937229268480 in words is "twelve trillion, nine hundred thirty-seven billion, two hundred twenty-nine million, two hundred sixty-eight thousand, four hundred eighty".