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6378689952 = 2533173114009
BaseRepresentation
bin1011111000011001…
…10001010110100000
3121110112122000122000
411330030301112200
5101030421034302
62532541244000
7314032653465
oct57414612640
917415560560
106378689952
112783671198
1212a0263600
137a868886b
1444722766c
15274edc31c
hex17c3315a0

6378689952 has 192 divisors, whose sum is σ = 20335795200. Its totient is φ = 1936465920.

The previous prime is 6378689903. The next prime is 6378689953. The reversal of 6378689952 is 2599868736.

It is a self number, because there is not a number n which added to its sum of digits gives 6378689952.

It is not an unprimeable number, because it can be changed into a prime (6378689953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448324 + ... + 462332.

It is an arithmetic number, because the mean of its divisors is an integer number (105915600).

Almost surely, 26378689952 is an apocalyptic number.

6378689952 is a gapful number since it is divisible by the number (62) 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 6378689952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10167897600).

6378689952 is an abundant number, since it is smaller than the sum of its proper divisors (13957105248).

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

6378689952 is a wasteful number, since it uses less digits than its factorization.

6378689952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14062 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 6378689952 is about 79866.7011463476. The cubic root of 6378689952 is about 1854.5725653791.

The spelling of 6378689952 in words is "six billion, three hundred seventy-eight million, six hundred eighty-nine thousand, nine hundred fifty-two".