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96945654969 = 3237291128093
BaseRepresentation
bin101101001001001101…
…0010100110010111001
3100021020022100112112200
41122102122110302321
53042021041424334
6112311453500413
710001255320332
oct1322232246271
9307208315480
1096945654969
1138129327509
1216956aa1709
1391acaab1a7
14499954d289
1527c600d799
hex1692694cb9

96945654969 has 12 divisors (see below), whose sum is σ = 143817278436. Its totient is φ = 62883667872.

The previous prime is 96945654959. The next prime is 96945654989.

96945654969 is a `hidden beast` number, since 9 + 69 + 456 + 54 + 9 + 69 = 666.

96945654969 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 89102250000 + 7843404969 = 298500^2 + 88563^2 .

It is not a de Polignac number, because 96945654969 - 28 = 96945654713 is a prime.

It is a super-2 number, since 2×969456549692 (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 96945654897 and 96945654906.

It is not an unprimeable number, because it can be changed into a prime (96945654959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145563714 + ... + 145564379.

It is an arithmetic number, because the mean of its divisors is an integer number (11984773203).

Almost surely, 296945654969 is an apocalyptic number.

It is an amenable number.

96945654969 is a deficient number, since it is larger than the sum of its proper divisors (46871623467).

96945654969 is a wasteful number, since it uses less digits than its factorization.

96945654969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291128136 (or 291128133 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 72.

The spelling of 96945654969 in words is "ninety-six billion, nine hundred forty-five million, six hundred fifty-four thousand, nine hundred sixty-nine".

Divisors: 1 3 9 37 111 333 291128093 873384279 2620152837 10771739441 32315218323 96945654969