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52661341005 = 3572138396569
BaseRepresentation
bin110001000010110111…
…000100101101001101
312000221001121022011020
4301002313010231031
51330322300403010
640105311144353
73542666004300
oct610267045515
9160831538136
1052661341005
1120373a54a29
12a2582150b9
134c7323c110
142797d7cb37
151583340470
hexc42dc4b4d

52661341005 has 96 divisors (see below), whose sum is σ = 105696057600. Its totient is φ = 22192063488.

The previous prime is 52661341003. The next prime is 52661341063. The reversal of 52661341005 is 50014316625.

It is not a de Polignac number, because 52661341005 - 21 = 52661341003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52661341003) 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 95 ways as a sum of consecutive naturals, for example, 8013361 + ... + 8019929.

It is an arithmetic number, because the mean of its divisors is an integer number (1101000600).

Almost surely, 252661341005 is an apocalyptic number.

It is an amenable number.

52661341005 is an abundant number, since it is smaller than the sum of its proper divisors (53034716595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52661341005 is a wasteful number, since it uses less digits than its factorization.

52661341005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7436 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 52661341005 in words is "fifty-two billion, six hundred sixty-one million, three hundred forty-one thousand, five".

Divisors: 1 3 5 7 13 15 21 35 39 49 65 91 105 147 195 245 273 455 637 735 839 1365 1911 2517 3185 4195 5873 6569 9555 10907 12585 17619 19707 29365 32721 32845 41111 45983 54535 76349 85397 88095 98535 123333 137949 163605 205555 229047 229915 256191 321881 381745 426985 534443 597779 616665 689745 965643 1145235 1280955 1603329 1609405 1793337 2672215 2988895 4184453 4828215 5511391 8016645 8966685 12553359 16534173 20922265 27556955 38579737 62766795 71648083 82670865 115739211 192898685 214944249 270058159 358240415 501536581 578696055 810174477 1074721245 1350290795 1504609743 2507682905 3510756067 4050872385 7523048715 10532268201 17553780335 52661341005