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45568759383 = 33719127163613
BaseRepresentation
bin101010011100000111…
…000001011001010111
311100121202122211021000
4222130013001121113
51221311100300013
632533424354343
73202144030620
oct523407013127
9140552584230
1045568759383
1118364416424
1289b8a759b3
1343b29bc164
1422c4002a47
1512ba839973
hexa9c1c1657

45568759383 has 128 divisors (see below), whose sum is σ = 82490163200. Its totient is φ = 24284727936.

The previous prime is 45568759289. The next prime is 45568759393. The reversal of 45568759383 is 38395786554.

45568759383 is a `hidden beast` number, since 4 + 556 + 8 + 75 + 9 + 3 + 8 + 3 = 666.

It is not a de Polignac number, because 45568759383 - 28 = 45568759127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45568759383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45568759393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74336985 + ... + 74337597.

It is an arithmetic number, because the mean of its divisors is an integer number (644454400).

Almost surely, 245568759383 is an apocalyptic number.

45568759383 is a deficient number, since it is larger than the sum of its proper divisors (36921403817).

45568759383 is a wasteful number, since it uses less digits than its factorization.

45568759383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 45568759383 in words is "forty-five billion, five hundred sixty-eight million, seven hundred fifty-nine thousand, three hundred eighty-three".

Divisors: 1 3 7 9 19 21 27 57 63 127 133 163 171 189 381 399 489 513 613 889 1141 1143 1197 1467 1839 2413 2667 3097 3423 3429 3591 4291 4401 5517 7239 8001 9291 10269 11647 12873 16551 16891 20701 21679 21717 24003 27873 30807 34941 38619 50673 62103 65037 65151 77851 81529 83619 99919 104823 115857 144907 152019 186309 195111 233553 244587 299757 314469 393319 434721 456057 544957 558927 585333 699433 700659 733761 899271 1179957 1304163 1479169 1634871 1898461 2098299 2101977 2201283 2697813 2753233 3539871 3912489 4437507 4904613 5695383 6294897 8259699 10354183 10619613 12689713 13289227 13312521 14713839 17086149 18884691 24779097 31062549 38069139 39867681 39937563 51258447 74337291 88827991 93187647 114207417 119603043 241104547 266483973 279562941 342622251 358809129 723313641 799451919 1687731829 2169940923 2398355757 5063195487 6509822769 15189586461 45568759383