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51234349716 = 223411139103421
BaseRepresentation
bin101111101101110011…
…100010001010010100
311220020121110122010000
4233231303202022110
51314411443142331
635311533531300
73462430533654
oct575563421224
9156217418100
1051234349716
111a801500290
129b1a343b30
134aa66ccc84
1426a0642364
1514ece180e6
hexbedce2294

51234349716 has 120 divisors (see below), whose sum is σ = 147165369120. Its totient is φ = 15413716800.

The previous prime is 51234349693. The next prime is 51234349721. The reversal of 51234349716 is 61794343215.

51234349716 is a `hidden beast` number, since 5 + 1 + 234 + 349 + 71 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 443686 + ... + 547106.

It is an arithmetic number, because the mean of its divisors is an integer number (1226378076).

Almost surely, 251234349716 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 51234349716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73582684560).

51234349716 is an abundant number, since it is smaller than the sum of its proper divisors (95931019404).

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

51234349716 is a wasteful number, since it uses less digits than its factorization.

51234349716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103587 (or 103576 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 51234349716 in words is "fifty-one billion, two hundred thirty-four million, three hundred forty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 139 162 198 278 297 324 396 417 556 594 834 891 1188 1251 1529 1668 1782 2502 3058 3564 3753 4587 5004 6116 7506 9174 11259 13761 15012 18348 22518 27522 41283 45036 55044 82566 103421 123849 165132 206842 247698 310263 413684 495396 620526 930789 1137631 1241052 1861578 2275262 2792367 3412893 3723156 4550524 5584734 6825786 8377101 10238679 11169468 13651572 14375519 16754202 20477358 28751038 30716037 33508404 40954716 43126557 57502076 61432074 86253114 92148111 122864148 129379671 158130709 172506228 184296222 258759342 316261418 368592444 388139013 474392127 517518684 632522836 776278026 948784254 1164417039 1423176381 1552556052 1897568508 2328834078 2846352762 4269529143 4657668156 5692705524 8539058286 12808587429 17078116572 25617174858 51234349716