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45321606310761 = 32112232241326441
BaseRepresentation
bin10100100111000010000100…
…01111101010101101101001
312221110200222200001110211200
422103201002033222231221
521420022122203421021
6240220243012114413
712355243440251064
oct1223410217525551
9187420880043750
1045321606310761
1113493870259a00
1250bb76a305a09
131c39a6989a5a1
14b298127438db
15538dbb8b2126
hex2938423eab69

45321606310761 has 108 divisors (see below), whose sum is σ = 75533832442068. Its totient is φ = 26164296576000.

The previous prime is 45321606310711. The next prime is 45321606310781. The reversal of 45321606310761 is 16701360612354.

45321606310761 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 1 + 6 + 0 + 631 + 0 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41475081213225 + 3846525097536 = 6440115^2 + 1961256^2 .

It is not a de Polignac number, because 45321606310761 - 233 = 45313016376169 is a prime.

It is a super-2 number, since 2×453216063107612 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45321606310711) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 138672301 + ... + 138998741.

Almost surely, 245321606310761 is an apocalyptic number.

It is an amenable number.

45321606310761 is a deficient number, since it is larger than the sum of its proper divisors (30212226131307).

45321606310761 is a wasteful number, since it uses less digits than its factorization.

45321606310761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326756 (or 326719 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45321606310761 in words is "forty-five trillion, three hundred twenty-one billion, six hundred six million, three hundred ten thousand, seven hundred sixty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 241 253 363 529 723 759 1089 1587 2169 2277 2651 2783 4761 5543 5819 7953 8349 16629 17457 23859 25047 29161 49887 52371 60973 64009 87483 127489 182919 192027 262449 326441 382467 548757 576081 670703 979323 1147401 1402379 2012109 2937969 3590851 4207137 6036327 7508143 10772553 12621411 15426169 22524429 32317659 39499361 46278507 67573287 78672281 82589573 118498083 138835521 172687289 236016843 247768719 355494249 518061867 708050529 743306157 865395091 908485303 1554185601 1809462463 1899560179 2596185273 2725455909 5428387389 5698680537 7788555819 8176367727 9519346001 16285162167 17096041611 19904087093 20895161969 28558038003 41617636649 59712261279 62685485907 85674114009 124852909947 179136783837 188056457721 218944958023 374558729841 457794003139 656834874069 1373382009417 1970504622207 4120146028251 5035734034529 15107202103587 45321606310761