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966606606669 = 311172323257101
BaseRepresentation
bin11100001000011100011…
…11100101000101001101
310102101222110212021120110
432010032033211011031
5111314102242403134
62020015234110233
7126556261410114
oct16041617450515
93371873767513
10966606606669
11342a32259270
1213740271b379
13701c5b81ac2
1434ad9470c7b
151a224c8c7e9
hexe10e3e514d

966606606669 has 48 divisors (see below), whose sum is σ = 1556217278784. Its totient is φ = 527389632000.

The previous prime is 966606606643. The next prime is 966606606677.

966606606669 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 966606606669 - 216 = 966606541133 is a prime.

It is a super-2 number, since 2×9666066066692 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966606606619) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1331782 + ... + 1925319.

It is an arithmetic number, because the mean of its divisors is an integer number (32421193308).

Almost surely, 2966606606669 is an apocalyptic number.

It is an amenable number.

966606606669 is a deficient number, since it is larger than the sum of its proper divisors (589610672115).

966606606669 is a wasteful number, since it uses less digits than its factorization.

966606606669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257178 (or 3257155 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 66.

The spelling of 966606606669 in words is "nine hundred sixty-six billion, six hundred six million, six hundred six thousand, six hundred sixty-nine".

Divisors: 1 3 11 17 23 33 51 69 187 253 391 529 561 759 1173 1587 4301 5819 8993 12903 17457 26979 98923 296769 3257101 9771303 35828111 55370717 74913323 107484333 166112151 224739969 609077887 824046553 1273526491 1723006429 1827233661 2472139659 3820579473 5169019287 14008791401 18953070719 29291109293 42026374203 56859212157 87873327879 322202202223 966606606669