Search a number
-
+
6482376196992 = 273341365912503
BaseRepresentation
bin101111001010100101110…
…1110110000001110000000
3211221201010221110022101000
41132111023232300032000
51322201401301300432
621441543523012000
71236223216351623
oct136251356601600
924851127408330
106482376196992
11207a1844058a3
128883b280a000
133803931a6467
14185a6a551dba
15b394c77357c
hex5e54bbb0380

6482376196992 has 256 divisors, whose sum is σ = 19605571776000. Its totient is φ = 2107345121280.

The previous prime is 6482376196969. The next prime is 6482376197009. The reversal of 6482376196992 is 2996916732846.

6482376196992 is a `hidden beast` number, since 6 + 4 + 82 + 376 + 1 + 96 + 9 + 92 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6482376196992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518459413 + ... + 518471915.

It is an arithmetic number, because the mean of its divisors is an integer number (76584264750).

Almost surely, 26482376196992 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 6482376196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802785888000).

6482376196992 is an abundant number, since it is smaller than the sum of its proper divisors (13123195579008).

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

6482376196992 is a wasteful number, since it uses less digits than its factorization.

6482376196992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16226 (or 16208 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 6482376196992 in words is "six trillion, four hundred eighty-two billion, three hundred seventy-six million, one hundred ninety-six thousand, nine hundred ninety-two".