Search a number
-
+
5667874730496 = 293211294917853
BaseRepresentation
bin101001001111010011110…
…1010001111001000000000
3202001211202221020202002200
41102132213222033020000
51220330301412333441
620015441413513200
71123330135205616
oct122364752171000
922054687222080
105667874730496
111895806584750
1277657b942800
1332162aa714a4
141584802996b6
159c67b2e57b6
hex527a7a8f200

5667874730496 has 480 divisors, whose sum is σ = 18500245283520. Its totient is φ = 1654724198400.

The previous prime is 5667874730491. The next prime is 5667874730509. The reversal of 5667874730496 is 6940374787665.

5667874730496 is a `hidden beast` number, since 5 + 6 + 67 + 8 + 7 + 4 + 73 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5667874730491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 721742506 + ... + 721750358.

It is an arithmetic number, because the mean of its divisors is an integer number (38542177674).

Almost surely, 25667874730496 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 5667874730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250122641760).

5667874730496 is an abundant number, since it is smaller than the sum of its proper divisors (12832370553024).

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

5667874730496 is a wasteful number, since it uses less digits than its factorization.

5667874730496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8408 (or 8389 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 5667874730496 in words is "five trillion, six hundred sixty-seven billion, eight hundred seventy-four million, seven hundred thirty thousand, four hundred ninety-six".