Search a number
-
+
5464284672 = 29371147983
BaseRepresentation
bin1010001011011001…
…00101111000000000
3112002211000102101210
411011230211320000
542142324102142
62302114330120
7252260440050
oct50554457000
915084012353
105464284672
11235449aa50
121085b89940
136910ba452
1439b9db560
1521eab749c
hex145b25e00

5464284672 has 320 divisors, whose sum is σ = 18554241024. Its totient is φ = 1387683840.

The previous prime is 5464284671. The next prime is 5464284691. The reversal of 5464284672 is 2764824645.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5464284671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5558293 + ... + 5559275.

Almost surely, 25464284672 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 5464284672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9277120512).

5464284672 is an abundant number, since it is smaller than the sum of its proper divisors (13089956352).

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

5464284672 is a wasteful number, since it uses less digits than its factorization.

5464284672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1053 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 5464284672 is about 73920.7999956710. The cubic root of 5464284672 is about 1761.3450324395.

The spelling of 5464284672 in words is "five billion, four hundred sixty-four million, two hundred eighty-four thousand, six hundred seventy-two".