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90102666957303 = 37112132346360589
BaseRepresentation
bin10100011111001010101001…
…011101010001000111110111
3102211000201201210002002100110
4110133022221131101013313
543302220230220113203
6515344332130514103
724656463040306110
oct2437125135210767
9384021653062313
1090102666957303
1126789365586800
12a132600a35933
133b378501b4a00
141836dc7015207
15a63b9ccc0d03
hex51f2a97511f7

90102666957303 has 144 divisors (see below), whose sum is σ = 163467546708480. Its totient is φ = 43192884683520.

The previous prime is 90102666957271. The next prime is 90102666957311. The reversal of 90102666957303 is 30375966620109.

It is a happy number.

It is not a de Polignac number, because 90102666957303 - 25 = 90102666957271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90102666957383) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1487082333 + ... + 1487142921.

Almost surely, 290102666957303 is an apocalyptic number.

90102666957303 is a deficient number, since it is larger than the sum of its proper divisors (73364879751177).

90102666957303 is a wasteful number, since it uses less digits than its factorization.

90102666957303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64110 (or 64086 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 57.

The spelling of 90102666957303 in words is "ninety trillion, one hundred two billion, six hundred sixty-six million, nine hundred fifty-seven thousand, three hundred three".

Divisors: 1 3 7 11 13 21 33 39 77 91 121 143 169 231 273 363 429 507 847 1001 1183 1573 1859 2541 3003 3463 3549 4719 5577 10389 11011 13013 20449 24241 33033 38093 39039 45019 60589 61347 72723 114279 135057 143143 181767 266651 315133 419023 424123 429429 495209 585247 666479 787657 799953 945399 1257069 1272369 1485627 1755741 1999437 2362971 2933161 3466463 4096729 4665353 5447299 5513599 6437717 7331269 8664227 8799483 10239541 10399389 12290187 13996059 16341897 16540797 19313151 21993807 25992681 30718623 38131093 45064019 51318883 60649589 70814887 71676787 95306497 112634951 114393279 135192057 153956649 181948767 209819707 212444661 215030361 285919491 337904853 495704209 629459121 667145479 788444657 1238984461 1468737949 1487112627 2001436437 2308016777 2365333971 2727656191 3716953383 4406213847 6924050331 8182968573 8672891227 16156117439 19093593337 25388184547 26018673681 30004218101 35459530483 48468352317 57280780011 76164553641 90012654303 106378591449 177717291829 210029526707 248216713381 330046399111 390054835313 533151875487 630088580121 744650140143 990139197333 1170164505939 2310324793777 2730383847191 4290603188443 6930974381331 8191151541573 12871809565329 30034222319101 90102666957303