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8769683849472 = 2833713127311353
BaseRepresentation
bin111111110011101100111…
…1001000000000100000000
31011001101002100100010111000
41333213121321000010000
52122140303031140342
630352423120052000
71563405640535610
oct177473171000400
934041070303430
108769683849472
1128812249a9377
12b97759464000
134b7c92b44710
142246525c0a40
151031bd9ce44c
hex7f9d9e40100

8769683849472 has 1152 divisors, whose sum is σ = 32364338872320. Its totient is φ = 2280814018560.

The previous prime is 8769683849461. The next prime is 8769683849483. The reversal of 8769683849472 is 2749483869678.

8769683849472 is a `hidden beast` number, since 8 + 7 + 6 + 9 + 68 + 3 + 84 + 9 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (8769683849461) and next prime (8769683849483).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 8769683849391 and 8769683849400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24843296848 + ... + 24843297200.

It is an arithmetic number, because the mean of its divisors is an integer number (28094044160).

Almost surely, 28769683849472 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 8769683849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182169436160).

8769683849472 is an abundant number, since it is smaller than the sum of its proper divisors (23594655022848).

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

8769683849472 is a wasteful number, since it uses less digits than its factorization.

8769683849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 816 counting only the distinct ones).

The product of its digits is 7023034368, while the sum is 81.

The spelling of 8769683849472 in words is "eight trillion, seven hundred sixty-nine billion, six hundred eighty-three million, eight hundred forty-nine thousand, four hundred seventy-two".