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66166276344 = 23372994714341
BaseRepresentation
bin111101100111110100…
…010100000011111000
320022210020112002200120
4331213310110003320
52041002031320334
650221340533240
74531443032520
oct754764240370
9208706462616
1066166276344
1126074157813
12109a6b51220
13631610340c
1432b97c6680
151ac3c82949
hexf67d140f8

66166276344 has 128 divisors (see below), whose sum is σ = 195785510400. Its totient is φ = 18232220160.

The previous prime is 66166276339. The next prime is 66166276357. The reversal of 66166276344 is 44367266166.

It is a super-2 number, since 2×661662763442 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4606614 + ... + 4620954.

It is an arithmetic number, because the mean of its divisors is an integer number (1529574300).

Almost surely, 266166276344 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 66166276344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97892755200).

66166276344 is an abundant number, since it is smaller than the sum of its proper divisors (129619234056).

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

66166276344 is a wasteful number, since it uses less digits than its factorization.

66166276344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15329 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 66166276344 in words is "sixty-six billion, one hundred sixty-six million, two hundred seventy-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 947 1218 1624 1894 2436 2841 3788 4872 5682 6629 7576 11364 13258 14341 19887 22728 26516 27463 28682 39774 43023 53032 54926 57364 79548 82389 86046 100387 109852 114728 159096 164778 172092 192241 200774 219704 301161 329556 344184 384482 401548 415889 576723 602322 659112 768964 803096 831778 1153446 1204644 1247667 1537928 1663556 2306892 2409288 2495334 2911223 3327112 4613784 4990668 5822446 8733669 9981336 11644892 13580927 17467338 23289784 27161854 34934676 40742781 54323708 69869352 81485562 95066489 108647416 162971124 190132978 285199467 325942248 380265956 393846883 570398934 760531912 787693766 1140797868 1181540649 1575387532 2281595736 2363081298 2756928181 3150775064 4726162596 5513856362 8270784543 9452325192 11027712724 16541569086 22055425448 33083138172 66166276344