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66734522784 = 2533109370667
BaseRepresentation
bin111110001001101100…
…000000000110100000
320101020211210000021000
4332021230000012200
52043133014212114
650354000232000
74551513040626
oct761154000640
9211224700230
1066734522784
1126335997776
1210b2530b600
1363a6a61b07
143331065516
151b08acbe09
hexf89b001a0

66734522784 has 96 divisors (see below), whose sum is σ = 194823195840. Its totient is φ = 22224174336.

The previous prime is 66734522783. The next prime is 66734522891. The reversal of 66734522784 is 48722543766.

66734522784 is a `hidden beast` number, since 6 + 6 + 7 + 34 + 522 + 7 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×667345227842 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66734522784.

It is not an unprimeable number, because it can be changed into a prime (66734522783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909019 + ... + 979685.

It is an arithmetic number, because the mean of its divisors is an integer number (2029408290).

Almost surely, 266734522784 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 66734522784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97411597920).

66734522784 is an abundant number, since it is smaller than the sum of its proper divisors (128088673056).

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

66734522784 is a wasteful number, since it uses less digits than its factorization.

66734522784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71779 (or 71765 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 66734522784 in words is "sixty-six billion, seven hundred thirty-four million, five hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1093 2186 3279 4372 6558 8744 9837 13116 17488 19674 26232 29511 34976 39348 52464 59022 70667 78696 104928 118044 141334 157392 212001 236088 282668 314784 424002 472176 565336 636003 848004 944352 1130672 1272006 1696008 1908009 2261344 2544012 3392016 3816018 5088024 6784032 7632036 10176048 15264072 20352096 30528144 61056288 77239031 154478062 231717093 308956124 463434186 617912248 695151279 926868372 1235824496 1390302558 1853736744 2085453837 2471648992 2780605116 3707473488 4170907674 5561210232 7414946976 8341815348 11122420464 16683630696 22244840928 33367261392 66734522784