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166303364088 = 23331223513067
BaseRepresentation
bin1001101011100001110…
…0111111001111111000
3120220020222010012222010
42122320130333033320
510211042130122323
6204222042125520
715005103161661
oct2327034771770
9526228105863
10166303364088
116458aa05974
12282927b08a0
13128b4140764
148098b30368
1544d504ac93
hex26b873f3f8

166303364088 has 96 divisors (see below), whose sum is σ = 429925466880. Its totient is φ = 53605944000.

The previous prime is 166303364053. The next prime is 166303364089. The reversal of 166303364088 is 880463303661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166303364089) 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 23 ways as a sum of consecutive naturals, for example, 54221931 + ... + 54224997.

It is an arithmetic number, because the mean of its divisors is an integer number (4478390280).

Almost surely, 2166303364088 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 166303364088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214962733440).

166303364088 is an abundant number, since it is smaller than the sum of its proper divisors (263622102792).

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

166303364088 is a wasteful number, since it uses less digits than its factorization.

166303364088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 166303364088 in words is "one hundred sixty-six billion, three hundred three million, three hundred sixty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2351 2883 3067 3844 4702 5766 6134 7053 7688 9201 9404 11532 12268 14106 18402 18808 23064 24536 28212 36804 56424 72881 73608 95077 145762 190154 218643 285231 291524 380308 437286 570462 583048 760616 874572 1140924 1749144 2259311 2281848 2947387 4518622 5894774 6777933 7210517 8842161 9037244 11789548 13555866 14421034 17684322 18074488 21631551 23579096 27111732 28842068 35368644 43263102 54223464 57684136 70737288 86526204 173052408 223526027 447052054 670578081 894104108 1341156162 1788208216 2682312324 5364624648 6929306837 13858613674 20787920511 27717227348 41575841022 55434454696 83151682044 166303364088