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338002282485 = 39573171931
BaseRepresentation
bin1001110101100101000…
…00011000011111110101
31012022102221221000000000
410322302200120133311
521014212041014420
6415135345541513
733264003666000
oct4726240303765
91168387830000
10338002282485
1112038952762a
1255610344899
1325b480559aa
141250628a537
158bd3ad4690
hex4eb28187f5

338002282485 has 640 divisors, whose sum is σ = 816279552000. Its totient is φ = 133327918080.

The previous prime is 338002282481. The next prime is 338002282493. The reversal of 338002282485 is 584282200833.

It is a happy number.

338002282485 is a `hidden beast` number, since 3 + 380 + 0 + 2 + 28 + 248 + 5 = 666.

338002282485 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 338002282485 - 22 = 338002282481 is a prime.

It is a super-2 number, since 2×3380022824852 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 338002282485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338002282481) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 10903299420 + ... + 10903299450.

It is an arithmetic number, because the mean of its divisors is an integer number (1275436800).

Almost surely, 2338002282485 is an apocalyptic number.

338002282485 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338002282485 is an abundant number, since it is smaller than the sum of its proper divisors (478277269515).

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

338002282485 is an frugal number, since it uses more digits than its factorization.

338002282485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 338002282485 in words is "three hundred thirty-eight billion, two million, two hundred eighty-two thousand, four hundred eighty-five".