Search a number
-
+
5399483645952 = 21733111741199
BaseRepresentation
bin100111010010010101001…
…0011100000000000000000
3201010012000022001222211000
41032210222103200000000
51201431120303132302
615252253305252000
71065046144503564
oct116445223400000
921105008058730
105399483645952
1117a19a9832480
12732558194000
13302227742766
1414949d1376a4
15956bdb2131c
hex4e92a4e0000

5399483645952 has 1152 divisors, whose sum is σ = 19025290368000. Its totient is φ = 1494849945600.

The previous prime is 5399483645929. The next prime is 5399483645957. The reversal of 5399483645952 is 2595463849935.

5399483645952 is a `hidden beast` number, since 5 + 3 + 9 + 94 + 8 + 36 + 459 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5399483645957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27133083549 + ... + 27133083747.

It is an arithmetic number, because the mean of its divisors is an integer number (16515009000).

Almost surely, 25399483645952 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 5399483645952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512645184000).

5399483645952 is an abundant number, since it is smaller than the sum of its proper divisors (13625806722048).

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

5399483645952 is a wasteful number, since it uses less digits than its factorization.

5399483645952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 273 counting only the distinct ones).

The product of its digits is 1259712000, while the sum is 72.

The spelling of 5399483645952 in words is "five trillion, three hundred ninety-nine billion, four hundred eighty-three million, six hundred forty-five thousand, nine hundred fifty-two".