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996691272192 = 2932721121912
BaseRepresentation
bin11101000000011110110…
…11011110001000000000
310112021122010110122012200
432200033123132020000
5112312210431202232
62041512412553200
7132002640013200
oct16401733361000
93467563418180
10996691272192
1135477026a800
121411b9a82800
1372cab94ba35
1436350c38400
151add603c77c
hexe80f6de200

996691272192 has 810 divisors, whose sum is σ = 3697361554887. Its totient is φ = 257525452800.

The previous prime is 996691272139. The next prime is 996691272193. The reversal of 996691272192 is 291272196699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

996691272192 is a `hidden beast` number, since 9 + 96 + 6 + 91 + 272 + 192 = 666.

It can be written as a sum of positive squares in only one way, i.e., 498345636096 + 498345636096 = 705936^2 + 705936^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=705936.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (996691272193) 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 80 ways as a sum of consecutive naturals, for example, 5218278817 + ... + 5218279007.

Almost surely, 2996691272192 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 996691272192

996691272192 is an abundant number, since it is smaller than the sum of its proper divisors (2700670282695).

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

996691272192 is a wasteful number, since it uses less digits than its factorization.

996691272192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 214 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 63.

The spelling of 996691272192 in words is "nine hundred ninety-six billion, six hundred ninety-one million, two hundred seventy-two thousand, one hundred ninety-two".