Search a number
-
+
5335998474240 = 211335719312151
BaseRepresentation
bin100110110100110001001…
…0010110010100000000000
3200220010010220112010021000
41031221202102302200000
51144411111102133430
615203153541532000
71060341005445450
oct115514222624000
920803126463230
105335998474240
111777a91036315
1272219b114000
132c924ac3b3b5
14146399865d60
1593c0543ee60
hex4da624b2800

5335998474240 has 2304 divisors, whose sum is σ = 23734384128000. Its totient is φ = 1110786048000.

The previous prime is 5335998474229. The next prime is 5335998474307. The reversal of 5335998474240 is 424748995335.

5335998474240 is a `hidden beast` number, since 5 + 3 + 3 + 59 + 98 + 474 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35337738165 + ... + 35337738315.

It is an arithmetic number, because the mean of its divisors is an integer number (10301382000).

Almost surely, 25335998474240 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 5335998474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867192064000).

5335998474240 is an abundant number, since it is smaller than the sum of its proper divisors (18398385653760).

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

5335998474240 is a wasteful number, since it uses less digits than its factorization.

5335998474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 5335998474240 in words is "five trillion, three hundred thirty-five billion, nine hundred ninety-eight million, four hundred seventy-four thousand, two hundred forty".