Search a number
-
+
2135151463500 = 22325311101427073
BaseRepresentation
bin11111000100100000111…
…100011100110001001100
321120010012101011120000100
4133010200330130301030
5234440242233313000
64312513001531100
7310155020663316
oct37044074346114
97503171146010
102135151463500
11753570379770
122a5981aa3a90
13126461789853
14754b01a67b6
153a818215a00
hex1f120f1cc4c

2135151463500 has 288 divisors, whose sum is σ = 7420796824896. Its totient is φ = 512486400000.

The previous prime is 2135151463499. The next prime is 2135151463513. The reversal of 2135151463500 is 53641515312.

2135151463500 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 1 + 5 + 14 + 635 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4785964 + ... + 5213036.

It is an arithmetic number, because the mean of its divisors is an integer number (25766655642).

Almost surely, 22135151463500 is an apocalyptic number.

2135151463500 is a gapful number since it is divisible by the number (20) 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 2135151463500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710398412448).

2135151463500 is an abundant number, since it is smaller than the sum of its proper divisors (5285645361396).

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

2135151463500 is a wasteful number, since it uses less digits than its factorization.

2135151463500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427210 (or 427195 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 2135151463500 its reverse (53641515312), we get a palindrome (2188792978812).

The spelling of 2135151463500 in words is "two trillion, one hundred thirty-five billion, one hundred fifty-one million, four hundred sixty-three thousand, five hundred".