Search a number
-
+
6485022673920 = 21034577173431
BaseRepresentation
bin101111001011110100101…
…1110010000110000000000
3211221221222101021021020000
41132113221132100300000
51322222311301031140
621443102302120000
71236345623135040
oct136275136206000
924857871237200
106485022673920
11208031226510a
12888a10b80000
133806c557003b
14185c3bc11720
15b3a54c84a30
hex5e5e9790c00

6485022673920 has 1760 divisors, whose sum is σ = 27364808503296. Its totient is φ = 1438049894400.

The previous prime is 6485022673897. The next prime is 6485022674003. The reversal of 6485022673920 is 293762205846.

6485022673920 is a `hidden beast` number, since 6 + 48 + 502 + 2 + 6 + 7 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 15046456105 + ... + 15046456535.

Almost surely, 26485022673920 is an apocalyptic number.

6485022673920 is a gapful number since it is divisible by the number (60) 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 6485022673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13682404251648).

6485022673920 is an abundant number, since it is smaller than the sum of its proper divisors (20879785829376).

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

6485022673920 is a wasteful number, since it uses less digits than its factorization.

6485022673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6485022673920 in words is "six trillion, four hundred eighty-five billion, twenty-two million, six hundred seventy-three thousand, nine hundred twenty".