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90038007443 = 17192314331093
BaseRepresentation
bin101001111011010101…
…1101111011010010011
322121101220101200112102
41103312223233122103
52433344212214233
6105210214551015
76335140302266
oct1236653573223
9277356350472
1090038007443
11352041206aa
121554966846b
13864b96bba7
144501d92cdd
15251e8881e8
hex14f6aef693

90038007443 has 48 divisors (see below), whose sum is σ = 104196830976. Its totient is φ = 77441495040.

The previous prime is 90038007439. The next prime is 90038007467. The reversal of 90038007443 is 34470083009.

It is not a de Polignac number, because 90038007443 - 22 = 90038007439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90038007397 and 90038007406.

It is not an unprimeable number, because it can be changed into a prime (90038007403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82376405 + ... + 82377497.

It is an arithmetic number, because the mean of its divisors is an integer number (2170767312).

Almost surely, 290038007443 is an apocalyptic number.

90038007443 is a deficient number, since it is larger than the sum of its proper divisors (14158823533).

90038007443 is a wasteful number, since it uses less digits than its factorization.

90038007443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 90038007443 in words is "ninety billion, thirty-eight million, seven thousand, four hundred forty-three".

Divisors: 1 17 19 31 323 361 433 527 589 1093 6137 7361 8227 10013 11191 13423 18581 20767 33883 139859 156313 190247 228191 255037 353039 394573 473269 576011 643777 2657321 4335629 4845703 6707741 8045573 8992111 10944209 12231763 14671339 82376951 152865887 170850109 207939971 249412763 278755441 2904451853 4738842497 5296353379 90038007443