Search a number
-
+
5640155136 = 212327111987
BaseRepresentation
bin1010100000010110…
…11111000000000000
3112120001221120022200
411100023133000000
543022334431021
62331400033200
7256524345660
oct52013370000
915501846280
105640155136
1124347a2040
121114a62800
136bb676805
143b70dc1a0
15230257126
hex1502df000

5640155136 has 312 divisors, whose sum is σ = 20322067584. Its totient is φ = 1464238080.

The previous prime is 5640155083. The next prime is 5640155173. The reversal of 5640155136 is 6315510465.

5640155136 is a `hidden beast` number, since 5 + 640 + 1 + 5 + 5 + 1 + 3 + 6 = 666.

It is a super-2 number, since 2×56401551362 = 63622699916294356992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5640155136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2837535 + ... + 2839521.

It is an arithmetic number, because the mean of its divisors is an integer number (65134832).

Almost surely, 25640155136 is an apocalyptic number.

5640155136 is a gapful number since it is divisible by the number (56) 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 5640155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10161033792).

5640155136 is an abundant number, since it is smaller than the sum of its proper divisors (14681912448).

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

5640155136 is a wasteful number, since it uses less digits than its factorization.

5640155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2010 counting only the distinct ones).

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

The square root of 5640155136 is about 75100.9662787371. The cubic root of 5640155136 is about 1780.0424111428.

The spelling of 5640155136 in words is "five billion, six hundred forty million, one hundred fifty-five thousand, one hundred thirty-six".