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13066179984 = 2435111371331
BaseRepresentation
bin11000010101100111…
…00001010110010000
31020201121022201100000
430022303201112100
5203224420224414
610000313330000
7641535461124
oct141263412620
936647281300
1013066179984
1155a5577460
122647a06900
131303003860
148bd475584
15517175b09
hex30ace1590

13066179984 has 480 divisors, whose sum is σ = 45315099648. Its totient is φ = 3592512000.

The previous prime is 13066179961. The next prime is 13066180027. The reversal of 13066179984 is 48997166031.

13066179984 is a `hidden beast` number, since 13 + 0 + 6 + 617 + 9 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 13066179984.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39474699 + ... + 39475029.

Almost surely, 213066179984 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 13066179984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657549824).

13066179984 is an abundant number, since it is smaller than the sum of its proper divisors (32248919664).

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

13066179984 is a wasteful number, since it uses less digits than its factorization.

13066179984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 13066179984 in words is "thirteen billion, sixty-six million, one hundred seventy-nine thousand, nine hundred eighty-four".