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676425411305280 = 26325721319179108413
BaseRepresentation
bin1001100111001101001001000…
…0010110111001111101000000
310021201000122012221110220222200
42121303102100112321331000
51202130023220243232110
610354345313303433200
7262323060161665500
oct23163222026717500
93251018187426880
10676425411305280
1118659145134265a
1263a47939755800
13230588479b7260
14bd072438d7a00
15533059d3b06c0
hex26734905b9f40

676425411305280 has 2016 divisors, whose sum is σ = 3085240928515200. Its totient is φ = 134450251923456.

The previous prime is 676425411305221. The next prime is 676425411305317. The reversal of 676425411305280 is 82503114524676.

676425411305280 is a `hidden beast` number, since 6 + 7 + 6 + 4 + 2 + 54 + 1 + 1 + 305 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6239284354 + ... + 6239392766.

It is an arithmetic number, because the mean of its divisors is an integer number (1530377444700).

Almost surely, 2676425411305280 is an apocalyptic number.

676425411305280 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 676425411305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542620464257600).

676425411305280 is an abundant number, since it is smaller than the sum of its proper divisors (2408815517209920).

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

676425411305280 is a wasteful number, since it uses less digits than its factorization.

676425411305280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108661 (or 108641 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 676425411305280 in words is "six hundred seventy-six trillion, four hundred twenty-five billion, four hundred eleven million, three hundred five thousand, two hundred eighty".