Search a number
-
+
18371141271360 = 26335431273531103
BaseRepresentation
bin1000010110101010111010…
…10110010111111101000000
32102001021010102101201022000
410023111131112113331000
54401443044131140420
6103023330310344000
73604162002203463
oct413253526277500
972037112351260
1018371141271360
115943180349699
12208854a05b000
13a33511596a07
1447724cd292da
1521cd1ee62690
hex10b55d597f40

18371141271360 has 896 divisors, whose sum is σ = 67088787701760. Its totient is φ = 4729623478272.

The previous prime is 18371141271349. The next prime is 18371141271361. The reversal of 18371141271360 is 6317214117381.

18371141271360 is a `hidden beast` number, since 1 + 8 + 3 + 7 + 1 + 14 + 1 + 271 + 360 = 666.

It is a super-2 number, since 2×183711412713602 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18371141271361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16655612569 + ... + 16655613671.

Almost surely, 218371141271360 is an apocalyptic number.

18371141271360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18371141271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33544393850880).

18371141271360 is an abundant number, since it is smaller than the sum of its proper divisors (48717646430400).

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

18371141271360 is a wasteful number, since it uses less digits than its factorization.

18371141271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 18371141271360 in words is "eighteen trillion, three hundred seventy-one billion, one hundred forty-one million, two hundred seventy-one thousand, three hundred sixty".