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9966390337 = 233716371849
BaseRepresentation
bin10010100100000101…
…10000110001000001
3221201120112002100001
421102002300301001
5130402343442322
64324542200001
7501655630411
oct112202606101
927646462301
109966390337
114254849632
121b21883001
13c2aa504b7
146a78d4641
153d4e6e827
hex2520b0c41

9966390337 has 16 divisors (see below), whose sum is σ = 10746460800. Its totient is φ = 9218385792.

The previous prime is 9966390323. The next prime is 9966390361. The reversal of 9966390337 is 7330936699.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 9966390337 - 27 = 9966390209 is a prime.

It is a pancake number, because a pancake can be divided into 9966390337 parts by 141183 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9966390307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102789 + ... + 174637.

It is an arithmetic number, because the mean of its divisors is an integer number (671653800).

Almost surely, 29966390337 is an apocalyptic number.

It is an amenable number.

9966390337 is a deficient number, since it is larger than the sum of its proper divisors (780070463).

9966390337 is a wasteful number, since it uses less digits than its factorization.

9966390337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72072.

The product of its (nonzero) digits is 4960116, while the sum is 55.

The square root of 9966390337 is about 99831.8102460333. The cubic root of 9966390337 is about 2152.0183200977.

The spelling of 9966390337 in words is "nine billion, nine hundred sixty-six million, three hundred ninety thousand, three hundred thirty-seven".

Divisors: 1 23 37 163 851 3749 6031 71849 138713 1652527 2658413 11711387 61143499 269361901 433321319 9966390337