Search a number
-
+
2136878016 = 2637131941157
BaseRepresentation
bin111111101011110…
…0010101111000000
312111220220122120020
41333113202233000
513334020044031
6552012413440
7103645110030
oct17727425700
95456818506
102136878016
119a7237099
124b7777280
13280930680
14163b298c0
15c78ee096
hex7f5e2bc0

2136878016 has 448 divisors, whose sum is σ = 7551237120. Its totient is φ = 517570560.

The previous prime is 2136878011. The next prime is 2136878017. The reversal of 2136878016 is 6108786312.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136878011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13610610 + ... + 13610766.

It is an arithmetic number, because the mean of its divisors is an integer number (16855440).

Almost surely, 22136878016 is an apocalyptic number.

2136878016 is a gapful number since it is divisible by the number (26) 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 2136878016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775618560).

2136878016 is an abundant number, since it is smaller than the sum of its proper divisors (5414359104).

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

2136878016 is a wasteful number, since it uses less digits than its factorization.

2136878016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2136878016 is about 46226.3779242977. The cubic root of 2136878016 is about 1288.0317752535.

The spelling of 2136878016 in words is "two billion, one hundred thirty-six million, eight hundred seventy-eight thousand, sixteen".