Search a number
-
+
5334219072 = 2632713149683
BaseRepresentation
bin1001111011111000…
…11011100101000000
3111202202021101221100
410331330123211000
541411030002242
62241150454400
7246121054050
oct47574334500
914682241840
105334219072
112298033816
12104a504400
1367017ab60
14388621560
1521347454c
hex13df1b940

5334219072 has 336 divisors, whose sum is σ = 18971971200. Its totient is φ = 1395339264.

The previous prime is 5334219067. The next prime is 5334219083. The reversal of 5334219072 is 2709124335.

5334219072 is a `hidden beast` number, since 533 + 42 + 19 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7809643 + ... + 7810325.

It is an arithmetic number, because the mean of its divisors is an integer number (56464200).

Almost surely, 25334219072 is an apocalyptic number.

5334219072 is a gapful number since it is divisible by the number (52) 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 5334219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9485985600).

5334219072 is an abundant number, since it is smaller than the sum of its proper divisors (13637752128).

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

5334219072 is a wasteful number, since it uses less digits than its factorization.

5334219072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5334219072 is about 73035.7383203593. The cubic root of 5334219072 is about 1747.2576446183.

The spelling of 5334219072 in words is "five billion, three hundred thirty-four million, two hundred nineteen thousand, seventy-two".