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12132521139762 = 2361927710091567
BaseRepresentation
bin1011000010001101001010…
…0111001101111000110010
31120221212011020222112000000
42300203102213031320302
53042234400402433022
641445334150010430
72361355120062402
oct260432247157062
946855136875000
1012132521139762
113958411986611
12143b444946a16
136a01269b599a
142dd307c3c802
151608dc2886ac
hexb08d29cde32

12132521139762 has 224 divisors, whose sum is σ = 28872450163200. Its totient is φ = 3811273772544.

The previous prime is 12132521139749. The next prime is 12132521139773. The reversal of 12132521139762 is 26793112523121.

12132521139762 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 252 + 1 + 1 + 397 + 6 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7742514303 + ... + 7742515869.

It is an arithmetic number, because the mean of its divisors is an integer number (128894866800).

Almost surely, 212132521139762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132521139762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14436225081600).

12132521139762 is an abundant number, since it is smaller than the sum of its proper divisors (16739929023438).

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

12132521139762 is a wasteful number, since it uses less digits than its factorization.

12132521139762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2877 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 12132521139762 in words is "twelve trillion, one hundred thirty-two billion, five hundred twenty-one million, one hundred thirty-nine thousand, seven hundred sixty-two".