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45072553017177 = 3471961179383171
BaseRepresentation
bin10100011111110010001011…
…00000101111111101011001
312220120220010201100021210000
422033321011200233331121
521401432042033022202
6235510013415443213
712331245611216250
oct1217710540577531
9186526121307700
1045072553017177
11133a8187159254
12507b442986509
131c1c4289a930a
14b1b747969797
15532691c4d91c
hex28fe4582ff59

45072553017177 has 160 divisors (see below), whose sum is σ = 82787222707200. Its totient is φ = 23866034659200.

The previous prime is 45072553017119. The next prime is 45072553017187. The reversal of 45072553017177 is 77171035527054.

It is a happy number.

45072553017177 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 2 + 553 + 0 + 17 + 1 + 77 = 666.

It is not a de Polignac number, because 45072553017177 - 27 = 45072553017049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45072553017187) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117438802 + ... + 117821972.

It is an arithmetic number, because the mean of its divisors is an integer number (517420141920).

Almost surely, 245072553017177 is an apocalyptic number.

It is an amenable number.

45072553017177 is a deficient number, since it is larger than the sum of its proper divisors (37714669690023).

45072553017177 is a wasteful number, since it uses less digits than its factorization.

45072553017177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383449 (or 383440 counting only the distinct ones).

The product of its (nonzero) digits is 7203000, while the sum is 54.

The spelling of 45072553017177 in words is "forty-five trillion, seventy-two billion, five hundred fifty-three million, seventeen thousand, one hundred seventy-seven".

Divisors: 1 3 7 9 19 21 27 57 61 63 81 133 171 179 183 189 399 427 513 537 549 567 1159 1197 1253 1281 1539 1611 1647 3401 3477 3591 3759 3843 4833 4941 8113 10203 10431 10773 10919 11277 11529 14499 23807 24339 30609 31293 32757 33831 34587 71421 73017 76433 91827 93879 98271 101493 207461 214263 219051 229299 275481 294813 383171 622383 642789 657153 687897 884439 1149513 1452227 1867149 1928367 2063691 2682197 3448539 4356681 5601447 6191073 7280249 8046591 10345617 13070043 16804341 21840747 23373431 24139773 31036851 39210129 50961743 65522241 68587609 70120293 72419319 117630387 152885229 163614017 196566723 205762827 210360879 217257957 444095189 458655687 480113263 490842051 589700169 617288481 631082637 1303164571 1332285567 1375967061 1440339789 1472526153 1851865443 1893247911 3108666323 3909493713 3996856701 4127901183 4183844149 4321019367 4417578459 5555596329 9122151997 9325998969 11728481139 11990570103 12551532447 12963058101 13252735377 27366455991 27977996907 29286909043 35185443417 35971710309 37654597341 38889174303 79493038831 82099367973 83933990721 87860727129 105556330251 112963792023 238479116493 246298103919 251801972163 263582181387 338891376069 556451271817 715437349479 738894311757 790746544161 1669353815451 2146312048437 2372239632483 5008061446353 6438936145311 15024184339059 45072553017177