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66067883255424 = 2735318791727653
BaseRepresentation
bin11110000010110101000001…
…01101100110011010000000
322122221000202101020202001210
433001122200231212122000
532124424011103133144
6352303055551130120
716626150510542361
oct1701324055463200
9278830671222053
1066067883255424
111a062260791046
1274b0494513940
132ab323695433b
1412459b9d73b68
1579889d3c7ab9
hex3c16a0b66680

66067883255424 has 128 divisors (see below), whose sum is σ = 178899262761600. Its totient is φ = 21595594715136.

The previous prime is 66067883255389. The next prime is 66067883255443. The reversal of 66067883255424 is 42455238876066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×660678832554243 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37377582 + ... + 39105234.

It is an arithmetic number, because the mean of its divisors is an integer number (1397650490325).

Almost surely, 266067883255424 is an apocalyptic number.

66067883255424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66067883255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89449631380800).

66067883255424 is an abundant number, since it is smaller than the sum of its proper divisors (112831379506176).

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

66067883255424 is a wasteful number, since it uses less digits than its factorization.

66067883255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729602 (or 1729590 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 66.

The spelling of 66067883255424 in words is "sixty-six trillion, sixty-seven billion, eight hundred eighty-three million, two hundred fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 1879 2544 3392 3758 5088 5637 6784 7516 10176 11274 15032 20352 22548 30064 45096 60128 90192 99587 120256 180384 199174 240512 298761 360768 398348 597522 721536 796696 1195044 1593392 1727653 2390088 3186784 3455306 4780176 5182959 6373568 6910612 9560352 10365918 12747136 13821224 19120704 20731836 27642448 38241408 41463672 55284896 82927344 91565609 110569792 165854688 183131218 221139584 274696827 331709376 366262436 549393654 663418752 732524872 1098787308 1465049744 2197574616 2930099488 3246259987 4395149232 5860198976 6492519974 8790298464 9738779961 11720397952 12985039948 17580596928 19477559922 25970079896 35161193856 38955119844 51940159792 77910239688 103880319584 155820479376 172051779311 207760639168 311640958752 344103558622 415521278336 516155337933 623281917504 688207117244 1032310675866 1246563835008 1376414234488 2064621351732 2752828468976 4129242703464 5505656937952 8258485406928 11011313875904 16516970813856 22022627751808 33033941627712 66067883255424