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51366141463616 = 2671929032078731
BaseRepresentation
bin10111010110111100111001…
…00111011000110001000000
320201212112222201100012101122
423223132130213120301000
523213040324203313431
6301125140222051412
713551036604313120
oct1353363447306100
9221775881305348
1051366141463616
111540429281a901
125917128a19b68
132287a63743925
14c981c515ac80
155e1240565a7b
hex2eb79c9d8c40

51366141463616 has 112 divisors (see below), whose sum is σ = 122664478632960. Its totient is φ = 20848231733760.

The previous prime is 51366141463613. The next prime is 51366141463619. The reversal of 51366141463616 is 61636414166315.

51366141463616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51366141463613) and next prime (51366141463619).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×513661414636163 (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51366141463613) 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 15 ways as a sum of consecutive naturals, for example, 23670971 + ... + 25749701.

Almost surely, 251366141463616 is an apocalyptic number.

51366141463616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51366141463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61332239316480).

51366141463616 is an abundant number, since it is smaller than the sum of its proper divisors (71298337169344).

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

51366141463616 is a wasteful number, since it uses less digits than its factorization.

51366141463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081672 (or 2081662 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 53.

The spelling of 51366141463616 in words is "fifty-one trillion, three hundred sixty-six billion, one hundred forty-one million, four hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 2903 4256 5806 8512 11612 20321 23224 40642 46448 55157 81284 92896 110314 162568 185792 220628 325136 386099 441256 650272 772198 882512 1300544 1544396 1765024 2078731 3088792 3530048 4157462 6177584 8314924 12355168 14551117 16629848 24710336 29102234 33259696 39495889 58204468 66519392 78991778 116408936 133038784 157983556 232817872 276471223 315967112 465635744 552942446 631934224 931271488 1105884892 1263868448 2211769784 2527736896 4423539568 6034556093 8847079136 12069112186 17694158272 24138224372 42241892651 48276448744 84483785302 96552897488 114656565767 168967570604 193105794976 229313131534 337935141208 386211589952 458626263068 675870282416 802595960369 917252526136 1351740564832 1605191920738 1834505052272 2703481129664 3210383841476 3669010104544 6420767682952 7338020209088 12841535365904 25683070731808 51366141463616