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66606004442000 = 2453131254221391
BaseRepresentation
bin11110010010011111010110…
…01111000001001110010000
322201211110201222012101022102
433021033223033001032100
532212233044114121000
6353354213115455532
720013060611263502
oct1711175317011620
9281743658171272
1066606004442000
111a24a4a2102211
1275788341575a8
132b21bc482b33a
141263a68013d72
157a7895abc3d5
hex3c93eb3c1390

66606004442000 has 80 divisors (see below), whose sum is σ = 162282734025984. Its totient is φ = 26439024560000.

The previous prime is 66606004441957. The next prime is 66606004442009. The reversal of 66606004442000 is 24440060666.

66606004442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×666060044420003 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (66606004442009) 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 15 ways as a sum of consecutive naturals, for example, 126848696 + ... + 127372695.

Almost surely, 266606004442000 is an apocalyptic number.

It is an amenable number.

66606004442000 is an abundant number, since it is smaller than the sum of its proper divisors (95676729583984).

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

66606004442000 is a wasteful number, since it uses less digits than its factorization.

66606004442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254221545 (or 254221529 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 66606004442000 in words is "sixty-six trillion, six hundred six billion, four million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 655 1000 1048 1310 2000 2096 2620 3275 5240 6550 10480 13100 16375 26200 32750 52400 65500 131000 262000 254221391 508442782 1016885564 1271106955 2033771128 2542213910 4067542256 5084427820 6355534775 10168855640 12711069550 20337711280 25422139100 31777673875 33303002221 50844278200 63555347750 66606004442 101688556400 127110695500 133212008884 166515011105 254221391000 266424017768 333030022210 508442782000 532848035536 666060044420 832575055525 1332120088840 1665150111050 2664240177680 3330300222100 4162875277625 6660600444200 8325750555250 13321200888400 16651501110500 33303002221000 66606004442000