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13042473984 = 210331727749
BaseRepresentation
bin11000010010110010…
…00101110000000000
31020122221201022211000
430021121011300000
5203202333131414
65554105252000
7641130125331
oct141131056000
936587638730
1013042473984
115593155821
12263ba94000
1312cb123637
148ba264288
15515041b09
hex309645c00

13042473984 has 176 divisors, whose sum is σ = 40899060000. Its totient is φ = 4091609088.

The previous prime is 13042473947. The next prime is 13042474033. The reversal of 13042473984 is 48937424031.

13042473984 is a `hidden beast` number, since 13 + 0 + 4 + 247 + 398 + 4 = 666.

It is a super-2 number, since 2×130424739842 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456142 + ... + 483890.

Almost surely, 213042473984 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 13042473984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20449530000).

13042473984 is an abundant number, since it is smaller than the sum of its proper divisors (27856586016).

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

13042473984 is a wasteful number, since it uses less digits than its factorization.

13042473984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27795 (or 27771 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13042473984 in words is "thirteen billion, forty-two million, four hundred seventy-three thousand, nine hundred eighty-four".