Search a number
-
+
6673926244608 = 28357193312437
BaseRepresentation
bin110000100011110010100…
…0000001100100100000000
3212122000120101122221100000
41201013211000030210000
51333321200104311413
622105543121200000
71256114054035140
oct141074500144400
925560511587300
106673926244608
11214343a415777
128b9550490000
1339546b9a13bc
1419103c2c0920
15b890de6d073
hex611e500c900

6673926244608 has 864 divisors, whose sum is σ = 24088738186240. Its totient is φ = 1800279613440.

The previous prime is 6673926244591. The next prime is 6673926244717. The reversal of 6673926244608 is 8064426293766.

6673926244608 is a `hidden beast` number, since 6 + 67 + 3 + 92 + 6 + 24 + 460 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2738581566 + ... + 2738584002.

Almost surely, 26673926244608 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 6673926244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044369093120).

6673926244608 is an abundant number, since it is smaller than the sum of its proper divisors (17414811941632).

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

6673926244608 is a wasteful number, since it uses less digits than its factorization.

6673926244608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 6673926244608 in words is "six trillion, six hundred seventy-three billion, nine hundred twenty-six million, two hundred forty-four thousand, six hundred eight".