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12977488832 = 26711171931263
BaseRepresentation
bin11000001011000010…
…01100001111000000
31020111102102201221112
430011201030033000
5203034214120312
65543424342452
7636410556260
oct140541141700
936442381845
1012977488832
11555a4aa490
122622174a28
1312ba81c599
148b17897a0
1550e4a6d22
hex30584c3c0

12977488832 has 448 divisors, whose sum is σ = 37079285760. Its totient is φ = 4346265600.

The previous prime is 12977488829. The next prime is 12977488837. The reversal of 12977488832 is 23888477921.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977488837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49343933 + ... + 49344195.

Almost surely, 212977488832 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 12977488832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539642880).

12977488832 is an abundant number, since it is smaller than the sum of its proper divisors (24101796928).

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

12977488832 is a wasteful number, since it uses less digits than its factorization.

12977488832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 59.

The spelling of 12977488832 in words is "twelve billion, nine hundred seventy-seven million, four hundred eighty-eight thousand, eight hundred thirty-two".