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96444144144469 = 11192131918413281
BaseRepresentation
bin10101111011011100100110…
…111100111101000001010101
3110122110222012020012002100001
4111323130212330331001111
5100120120101400110334
6541041454515051301
726212600541105602
oct2573344674750125
9418428166162301
1096444144144469
1128803806092030
12a9976308a0b31
1341a784a48b3b4
1419b5cc87996a9
15b23b0093e714
hex57b726f3d055

96444144144469 has 24 divisors (see below), whose sum is σ = 111124893401280. Its totient is φ = 82998964396800.

The previous prime is 96444144144463. The next prime is 96444144144493.

96444144144469 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 96444144144469 - 25 = 96444144144437 is a prime.

It is a super-2 number, since 2×964441441444692 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 96444144144469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96444144144463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3968892 + ... + 14444389.

It is an arithmetic number, because the mean of its divisors is an integer number (4630203891720).

Almost surely, 296444144144469 is an apocalyptic number.

It is an amenable number.

96444144144469 is a deficient number, since it is larger than the sum of its proper divisors (14680749256811).

96444144144469 is a wasteful number, since it uses less digits than its factorization.

96444144144469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18414649 (or 18414630 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 64.

The spelling of 96444144144469 in words is "ninety-six trillion, four hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, four hundred sixty-nine".

Divisors: 1 11 19 209 361 1319 3971 14509 25061 275671 476159 5237749 18413281 202546091 349852339 3848375729 6647194441 24287117639 73119138851 267158294029 461455235141 5076007586551 8767649467679 96444144144469