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6378334704 = 243273296173
BaseRepresentation
bin1011111000010110…
…11010100111110000
3121110111221222022200
411330023122213300
5101030323202304
62532525503200
7314026644000
oct57413324760
917414858280
106378334704
1127834492a5
1212a0111b00
137a8592c61
14447174000
15274e6be39
hex17c2da9f0

6378334704 has 480 divisors, whose sum is σ = 22187568000. Its totient is φ = 1706987520.

The previous prime is 6378334693. The next prime is 6378334717. The reversal of 6378334704 is 4074338736.

6378334704 is a `hidden beast` number, since 637 + 8 + 3 + 3 + 4 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6378334704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87374412 + ... + 87374484.

It is an arithmetic number, because the mean of its divisors is an integer number (46224100).

Almost surely, 26378334704 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 6378334704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11093784000).

6378334704 is an abundant number, since it is smaller than the sum of its proper divisors (15809233296).

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

6378334704 is a wasteful number, since it uses less digits than its factorization.

6378334704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 6378334704 is about 79864.4771096637. The cubic root of 6378334704 is about 1854.5381358734.

The spelling of 6378334704 in words is "six billion, three hundred seventy-eight million, three hundred thirty-four thousand, seven hundred four".