Search a number
-
+
2136471552 = 2113953
BaseRepresentation
bin111111101010111…
…1111100000000000
312111220011000000000
41333111333200000
513333414042202
6552000000000
7103641465015
oct17725774000
95456130000
102136471552
119a6a89776
124b7600000
1328081a667
14163a6170c
15c786d91c
hex7f57f800

2136471552 has 240 divisors, whose sum is σ = 6528642120. Its totient is φ = 698720256.

The previous prime is 2136471551. The next prime is 2136471553. The reversal of 2136471552 is 2551746312.

2136471552 is a `hidden beast` number, since 2 + 1 + 3 + 647 + 1 + 5 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2136471551) and next prime (2136471553).

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136471551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40310758 + ... + 40310810.

Almost surely, 22136471552 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 2136471552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264321060).

2136471552 is an abundant number, since it is smaller than the sum of its proper divisors (4392170568).

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

2136471552 is an frugal number, since it uses more digits than its factorization.

2136471552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 2136471552 is about 46221.9812643292. The cubic root of 2136471552 is about 1287.9501028726.

The spelling of 2136471552 in words is "two billion, one hundred thirty-six million, four hundred seventy-one thousand, five hundred fifty-two".