Search a number
-
+
6869451214080 = 2836573132127
BaseRepresentation
bin110001111110110101100…
…1100110000110100000000
3220022201020212101112000000
41203331223030300310000
51400022114002322310
622335440552000000
71306205255616000
oct143755314606400
926281225345000
106869451214080
112209355140234
1292b419390000
133aaa2bb4a100
1419a6a9d16000
15bda545d74c0
hex63f6b330d00

6869451214080 has 3024 divisors, whose sum is σ = 31398822604800. Its totient is φ = 1437966286848.

The previous prime is 6869451214033. The next prime is 6869451214103. The reversal of 6869451214080 is 804121549686.

6869451214080 is a `hidden beast` number, since 6 + 8 + 6 + 9 + 4 + 512 + 1 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 54090166977 + ... + 54090167103.

Almost surely, 26869451214080 is an apocalyptic number.

6869451214080 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 6869451214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699411302400).

6869451214080 is an abundant number, since it is smaller than the sum of its proper divisors (24529371390720).

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

6869451214080 is an equidigital number, since it uses as much as digits as its factorization.

6869451214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 6869451214080 in words is "six trillion, eight hundred sixty-nine billion, four hundred fifty-one million, two hundred fourteen thousand, eighty".