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6378432896 = 271111533929
BaseRepresentation
bin1011111000010111…
…10010100110000000
3121110112010222000102
411330023302212000
5101030334323041
62532531541532
7314030533163
oct57413624600
917415128012
106378432896
112783506050
1212a015a8a8
137a85c8864
1444719bada
15274e8b09b
hex17c2f2980

6378432896 has 64 divisors (see below), whose sum is σ = 13877773200. Its totient is φ = 2896035840.

The previous prime is 6378432881. The next prime is 6378432911. The reversal of 6378432896 is 6982348736.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6378432881) and next prime (6378432911).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1621460 + ... + 1625388.

Almost surely, 26378432896 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 6378432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938886600).

6378432896 is an abundant number, since it is smaller than the sum of its proper divisors (7499340304).

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

6378432896 is a wasteful number, since it uses less digits than its factorization.

6378432896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5095 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The square root of 6378432896 is about 79865.0918486919. The cubic root of 6378432896 is about 1854.5476524574.

The spelling of 6378432896 in words is "six billion, three hundred seventy-eight million, four hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1153 1408 2306 3929 4612 7858 9224 12683 15716 18448 25366 31432 36896 43219 50732 62864 73792 86438 101464 125728 147584 172876 202928 251456 345752 405856 502912 691504 811712 1383008 1623424 2766016 4530137 5532032 9060274 18120548 36241096 49831507 72482192 99663014 144964384 199326028 289928768 398652056 579857536 797304112 1594608224 3189216448 6378432896