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6940225152 = 27347219719
BaseRepresentation
bin1100111011010101…
…10110111010000000
3122220200020222010000
412131222312322000
5103203144201102
63104401040000
7333661640400
oct63552667200
918820228100
106940225152
112a41637973
121418326000
13867b07603
1449ba3a800
152a945d01c
hex19dab6e80

6940225152 has 480 divisors, whose sum is σ = 25325784000. Its totient is φ = 1875944448.

The previous prime is 6940225151. The next prime is 6940225211. The reversal of 6940225152 is 2515220496.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6940225151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652249 + ... + 9652967.

It is an arithmetic number, because the mean of its divisors is an integer number (52762050).

Almost surely, 26940225152 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 6940225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12662892000).

6940225152 is an abundant number, since it is smaller than the sum of its proper divisors (18385558848).

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

6940225152 is a wasteful number, since it uses less digits than its factorization.

6940225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6940225152 is about 83308.0137321734. The cubic root of 6940225152 is about 1907.4706019092.

The spelling of 6940225152 in words is "six billion, nine hundred forty million, two hundred twenty-five thousand, one hundred fifty-two".