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66739950237312 = 27321124397191601
BaseRepresentation
bin11110010110011000110110…
…00001101011011010000000
322202022021110212211210112100
433023030123001223122000
532221431404230043222
6353535524311030400
720025542116615332
oct1713143301533200
9282267425753470
1066739950237312
111a2a1288002800
12759a79636b400
132b317200263a1
14126a333563452
157ab0d504a4ac
hex3cb31b06b680

66739950237312 has 1152 divisors, whose sum is σ = 219741277916160. Its totient is φ = 19415531520000.

The previous prime is 66739950237271. The next prime is 66739950237319. The reversal of 66739950237312 is 21373205993766.

66739950237312 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 99 + 502 + 3 + 7 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 66739950237312.

It is not an unprimeable number, because it can be changed into a prime (66739950237319) 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, 111048169812 + ... + 111048170412.

It is an arithmetic number, because the mean of its divisors is an integer number (190747637080).

Almost surely, 266739950237312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66739950237312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109870638958080).

66739950237312 is an abundant number, since it is smaller than the sum of its proper divisors (153001327678848).

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

66739950237312 is a wasteful number, since it uses less digits than its factorization.

66739950237312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 77157360, while the sum is 63.

The spelling of 66739950237312 in words is "sixty-six trillion, seven hundred thirty-nine billion, nine hundred fifty million, two hundred thirty-seven thousand, three hundred twelve".