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5149941971328 = 2732711175333119
BaseRepresentation
bin100101011110001000001…
…1101100011100110000000
3200020022220022101110220200
41022330100131203212000
51133334040121040303
614541503425205200
71041033235326450
oct112742035434600
920208808343820
105149941971328
111706094a90930
126b2115190800
132b4839606b1b
1413b38954dd60
158de6618c3a3
hex4af10763980

5149941971328 has 384 divisors, whose sum is σ = 18487350835200. Its totient is φ = 1336843837440.

The previous prime is 5149941971309. The next prime is 5149941971371. The reversal of 5149941971328 is 8231791499415.

5149941971328 is a `hidden beast` number, since 5 + 1 + 499 + 4 + 1 + 9 + 7 + 132 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155481553 + ... + 155514671.

It is an arithmetic number, because the mean of its divisors is an integer number (48144142800).

Almost surely, 25149941971328 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 5149941971328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243675417600).

5149941971328 is an abundant number, since it is smaller than the sum of its proper divisors (13337408863872).

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

5149941971328 is a wasteful number, since it uses less digits than its factorization.

5149941971328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34910 (or 34895 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 5149941971328 in words is "five trillion, one hundred forty-nine billion, nine hundred forty-one million, nine hundred seventy-one thousand, three hundred twenty-eight".