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996601796190 = 23257111317798237
BaseRepresentation
bin11101000000010100001…
…10001001011001011110
310112021101220002210012200
432200022012021121132
5112312020024434230
62041455455112330
7132000502332210
oct16401206113136
93467356083180
10996601796190
113547248070a0
12141193b126a6
1372c96251460
1436342dc65b0
151adcd266160
hexe80a18965e

996601796190 has 768 divisors, whose sum is σ = 3730777989120. Its totient is φ = 177612963840.

The previous prime is 996601796159. The next prime is 996601796233. The reversal of 996601796190 is 91697106699.

996601796190 is a `hidden beast` number, since 9 + 9 + 6 + 6 + 0 + 1 + 7 + 9 + 619 + 0 = 666.

It is a super-2 number, since 2×9966017961902 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 120986752 + ... + 120994988.

It is an arithmetic number, because the mean of its divisors is an integer number (4857783840).

Almost surely, 2996601796190 is an apocalyptic number.

996601796190 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 996601796190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865388994560).

996601796190 is an abundant number, since it is smaller than the sum of its proper divisors (2734176192930).

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

996601796190 is a wasteful number, since it uses less digits than its factorization.

996601796190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 9920232, while the sum is 63.

The spelling of 996601796190 in words is "nine hundred ninety-six billion, six hundred one million, seven hundred ninety-six thousand, one hundred ninety".