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996973347969 = 3217231019278029
BaseRepresentation
bin11101000001000000011…
…11100000010010000001
310112022100210020120102200
432200200033200102001
5112313300134113334
62042000410503413
7132012633430434
oct16404017402201
93468323216380
10996973347969
113548a5511485
12141278434b69
1373025212191
143637a4a381b
151ae00baa799
hexe8203e0481

996973347969 has 48 divisors (see below), whose sum is σ = 1592644809600. Its totient is φ = 597764648448.

The previous prime is 996973347907. The next prime is 996973348001. The reversal of 996973347969 is 969743379699.

996973347969 is a `hidden beast` number, since 99 + 69 + 73 + 347 + 9 + 69 = 666.

It is not a de Polignac number, because 996973347969 - 216 = 996973282433 is a prime.

It is a super-2 number, since 2×9969733479692 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (996973340969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3446847 + ... + 3724875.

It is an arithmetic number, because the mean of its divisors is an integer number (33180100200).

Almost surely, 2996973347969 is an apocalyptic number.

It is an amenable number.

996973347969 is a deficient number, since it is larger than the sum of its proper divisors (595671461631).

996973347969 is a wasteful number, since it uses less digits than its factorization.

996973347969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279094 (or 279091 counting only the distinct ones).

The product of its digits is 3749847696, while the sum is 81.

The spelling of 996973347969 in words is "nine hundred ninety-six billion, nine hundred seventy-three million, three hundred forty-seven thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17 23 51 69 153 207 391 1019 1173 3057 3519 9171 17323 23437 51969 70311 155907 210933 278029 398429 834087 1195287 2502261 3585861 4726493 6394667 14179479 19184001 42538437 57552003 108709339 283311551 326128017 849934653 978384051 2549803959 4816296367 6516165673 14448889101 19548497019 43346667303 58645491057 110774816441 332324449323 996973347969