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45253410632661 = 371117292011197597
BaseRepresentation
bin10100100101000011000010…
…11101110011001111010101
312221020011221222212002022010
422102201201131303033111
521412412441110221121
6240125044014054433
712350310462456120
oct1222414135631725
9187204858762263
1045253410632661
1113467955603660
1250aa4b77aa419
131c334bc1c723a
14b263c360b3b7
155372298b0376
hex2928617733d5

45253410632661 has 128 divisors (see below), whose sum is σ = 82439529615360. Its totient is φ = 21351749529600.

The previous prime is 45253410632609. The next prime is 45253410632663. The reversal of 45253410632661 is 16623601435254.

45253410632661 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45253410632661 - 211 = 45253410630613 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45253410632661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45253410632663) 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 127 ways as a sum of consecutive naturals, for example, 228919915 + ... + 229117511.

It is an arithmetic number, because the mean of its divisors is an integer number (644058825120).

Almost surely, 245253410632661 is an apocalyptic number.

It is an amenable number.

45253410632661 is a deficient number, since it is larger than the sum of its proper divisors (37186118982699).

45253410632661 is a wasteful number, since it uses less digits than its factorization.

45253410632661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199675.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 45253410632661 in words is "forty-five trillion, two hundred fifty-three billion, four hundred ten million, six hundred thirty-two thousand, six hundred sixty-one".

Divisors: 1 3 7 11 17 21 29 33 51 77 87 119 187 203 231 319 357 493 561 609 957 1309 1479 2011 2233 3451 3927 5423 6033 6699 10353 14077 16269 22121 34187 37961 42231 58319 66363 102561 113883 154847 174957 197597 239309 376057 408233 464541 592791 641509 717927 991423 1128171 1224699 1383179 1924527 2173567 2632399 2974269 3359149 4149537 4490563 5730313 6520701 6939961 7897197 10077447 10905653 13471689 15214969 17190939 20819883 23514043 32716959 36950639 40112191 45644907 63033443 70542129 76339571 97415321 110851917 120336573 189100329 229018713 258654473 292245963 397367567 441234101 681907247 775963419 1071568531 1192102701 1323702303 2045721741 2781572969 3214705593 4371043237 6755248639 7500979717 8344718907 11523659443 13113129711 20265745917 22502939151 30597302659 34570978329 47286740473 74307735029 80665616101 91791907977 126760253873 141860221419 195902210531 222923205087 241996848303 380280761619 520154145203 587706631593 887321777111 1371315473717 1560462435609 2154924315841 2661965331333 4113946421151 6464772947523 15084470210887 45253410632661