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664551561105423 = 3217219311709253823
BaseRepresentation
bin1001011100011001111111011…
…1101111000001000000001111
310020010222111201220111122112100
42113012133313233001000033
51144101003044120333143
610313214434513410143
7256656160123402035
oct22706376757010017
93203874656448470
10664551561105423
11182823809469832
126264a665269953
13226a6c35609734
14ba16677d06555
1551c67a02bd6d3
hex25c67f7bc100f

664551561105423 has 144 divisors (see below), whose sum is σ = 1108639877529600. Its totient is φ = 382059534689280.

The previous prime is 664551561105407. The next prime is 664551561105449. The reversal of 664551561105423 is 324501165155466.

664551561105423 is a `hidden beast` number, since 6 + 6 + 4 + 5 + 5 + 1 + 561 + 1 + 0 + 54 + 23 = 666.

It is not a de Polignac number, because 664551561105423 - 24 = 664551561105407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 664551561105423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664551561105323) 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, 2618042290 + ... + 2618296112.

It is an arithmetic number, because the mean of its divisors is an integer number (7698888038400).

Almost surely, 2664551561105423 is an apocalyptic number.

664551561105423 is a deficient number, since it is larger than the sum of its proper divisors (444088316424177).

664551561105423 is a wasteful number, since it uses less digits than its factorization.

664551561105423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255622 (or 255602 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 664551561105423 in words is "six hundred sixty-four trillion, five hundred fifty-one billion, five hundred sixty-one million, one hundred five thousand, four hundred twenty-three".

Divisors: 1 3 9 17 19 31 51 57 93 153 171 279 289 323 527 589 867 969 1581 1709 1767 2601 2907 4743 5127 5301 5491 8959 10013 15381 16473 26877 29053 30039 32471 49419 52979 80631 87159 90117 97413 158937 170221 253823 261477 292239 476811 493901 510663 552007 761469 900643 1006601 1481703 1531989 1656021 2284407 2701929 3019803 4314991 4445109 4822637 4968063 7868513 8105787 9059409 9384119 12944973 14467911 15310931 17112217 23605539 28152357 38834919 43403733 45932793 51336651 70816617 73354847 81984829 84457071 133764721 137798379 149501747 154009953 220064541 245954487 290907689 401294163 433783507 448505241 660193623 737863461 872723067 1203882489 1301350521 1345515723 1393742093 2274000257 2541529699 2618169201 3904051563 4181226279 6822000771 7374319619 7624589097 8241886633 12543678837 13447288717 20466002313 22122958857 22873767291 24725659899 40341866151 43206004883 66368876571 74176979697 121025598453 125363433523 129618014649 140112072761 228603908189 255498485623 376090300569 388854043947 420336218283 685811724567 766495456869 1128270901707 1261008654849 2057435173701 2299486370607 2381905236937 3886266439213 4343474255591 7145715710811 11658799317639 13030422766773 21437147132433 34976397952917 39091268300319 73839062345047 221517187035141 664551561105423