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996427367208 = 233373133727961
BaseRepresentation
bin11100111111111111011…
…00110000001100101000
310112020221201212212122000
432133333230300030220
5112311140401222313
62041430304331000
7131663253606000
oct16377754601450
93466851785560
10996427367208
113546452aa009
12141145613a60
1372c6907b240
1436327b7d000
151adbccad673
hexe7ffb30328

996427367208 has 512 divisors, whose sum is σ = 3570188160000. Its totient is φ = 255682344960.

The previous prime is 996427367203. The next prime is 996427367213. The reversal of 996427367208 is 802763724699.

996427367208 is a `hidden beast` number, since 9 + 9 + 64 + 2 + 7 + 367 + 208 = 666.

It is an interprime number because it is at equal distance from previous prime (996427367203) and next prime (996427367213).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (996427367203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35622348 + ... + 35650308.

It is an arithmetic number, because the mean of its divisors is an integer number (6973023750).

Almost surely, 2996427367208 is an apocalyptic number.

996427367208 is a gapful number since it is divisible by the number (98) 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 996427367208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785094080000).

996427367208 is an abundant number, since it is smaller than the sum of its proper divisors (2573760792792).

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

996427367208 is a wasteful number, since it uses less digits than its factorization.

996427367208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28047 (or 28023 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 996427367208 in words is "nine hundred ninety-six billion, four hundred twenty-seven million, three hundred sixty-seven thousand, two hundred eight".