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996141699 = 33741128551
BaseRepresentation
bin111011010111111…
…110101010000011
32120102102020112000
4323113332222003
54020003013244
6242502435043
733454031130
oct7327765203
92512366460
10996141699
11471329003
12239732a83
1312b4b8c77
1496425587
155c6bd169
hex3b5fea83

996141699 has 32 divisors (see below), whose sum is σ = 1727738880. Its totient is φ = 555336000.

The previous prime is 996141697. The next prime is 996141733.

996141699 is a `hidden beast` number, since 9 + 9 + 614 + 16 + 9 + 9 = 666.

996141699 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 996141699 - 21 = 996141697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996141697) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56527 + ... + 72024.

It is an arithmetic number, because the mean of its divisors is an integer number (53991840).

Almost surely, 2996141699 is an apocalyptic number.

996141699 is a deficient number, since it is larger than the sum of its proper divisors (731597181).

996141699 is a wasteful number, since it uses less digits than its factorization.

996141699 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128608 (or 128602 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 996141699 is about 31561.7125485928. The cubic root of 996141699 is about 998.7122420580.

The spelling of 996141699 in words is "nine hundred ninety-six million, one hundred forty-one thousand, six hundred ninety-nine".

Divisors: 1 3 7 9 21 27 41 63 123 189 287 369 861 1107 2583 7749 128551 385653 899857 1156959 2699571 3470877 5270591 8098713 15811773 24296139 36894137 47435319 110682411 142305957 332047233 996141699