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90925165443 = 37317183137173
BaseRepresentation
bin101010010101110001…
…1111110101110000011
322200200201201222112010
41110223203332232003
52442203320243233
6105434225504003
76366132103620
oct1245343765603
9280621658463
1090925165443
1135619981632
12157567a2003
1387606ba258
144587b29347
1525726c9b63
hex152b8feb83

90925165443 has 128 divisors (see below), whose sum is σ = 148709965824. Its totient is φ = 48337228800.

The previous prime is 90925165423. The next prime is 90925165447. The reversal of 90925165443 is 34456152909.

It is a Cunningham number, because it is equal to 3015382-1.

It is not a de Polignac number, because 90925165443 - 210 = 90925164419 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 90925165392 and 90925165401.

It is not an unprimeable number, because it can be changed into a prime (90925165447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525578905 + ... + 525579077.

It is an arithmetic number, because the mean of its divisors is an integer number (1161796608).

Almost surely, 290925165443 is an apocalyptic number.

90925165443 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

90925165443 is a deficient number, since it is larger than the sum of its proper divisors (57784800381).

90925165443 is a wasteful number, since it uses less digits than its factorization.

90925165443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 90925165443 in words is "ninety billion, nine hundred twenty-five million, one hundred sixty-five thousand, four hundred forty-three".

Divisors: 1 3 7 21 31 71 83 93 137 173 213 217 249 411 497 519 581 651 959 1211 1491 1743 2201 2573 2877 3633 4247 5363 5893 6603 7719 9727 11371 12283 12741 14359 15407 16089 17679 18011 23701 29181 29729 34113 36849 37541 41251 43077 46221 54033 68089 71103 79597 85981 89187 100513 112623 123753 165907 182683 204267 238791 257943 301537 301539 352501 380773 445129 497721 548049 734731 807341 904611 1019489 1057503 1142319 1278781 1335387 1682771 1967183 2110759 2204193 2422023 2467507 2665411 3058467 3115903 3836343 5048313 5143117 5651387 5901549 6332277 7136423 7402521 7996233 9347709 11779397 13770281 15429351 16954161 21409269 25027571 31604159 35338191 41310843 52165901 60982673 75082713 94812477 139669993 156497703 175192997 182948019 221229113 365161307 419009979 426878711 525578991 663687339 977689951 1095483921 1280636133 2933069853 4329769783 12989309349 30308388481 90925165443