Search a number
-
+
5303167018380 = 2232571123292131151
BaseRepresentation
bin100110100101011110101…
…1000101110010110001100
3200202222101211100100122100
41031022331120232112030
51143341341224042010
615140124041515100
71055066264620320
oct115127530562614
920688354310570
105303167018380
11176507358a620
12717957aa2a90
132c611808453a
14144963369980
1592e32e662c0
hex4d2bd62e58c

5303167018380 has 1728 divisors, whose sum is σ = 21984206340096. Its totient is φ = 1003242240000.

The previous prime is 5303167018283. The next prime is 5303167018453. The reversal of 5303167018380 is 838107613035.

5303167018380 is a `hidden beast` number, since 5 + 303 + 167 + 0 + 183 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 35120311305 + ... + 35120311455.

It is an arithmetic number, because the mean of its divisors is an integer number (12722341632).

Almost surely, 25303167018380 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 5303167018380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992103170048).

5303167018380 is an abundant number, since it is smaller than the sum of its proper divisors (16681039321716).

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

5303167018380 is a wasteful number, since it uses less digits than its factorization.

5303167018380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 5303167018380 in words is "five trillion, three hundred three billion, one hundred sixty-seven million, eighteen thousand, three hundred eighty".