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51888538368 = 283259381713
BaseRepresentation
bin110000010100110011…
…000100001100000000
311221221012102212020100
4300110303010030000
51322231431211433
635500503242400
73514563204342
oct602463041400
9157835385210
1051888538368
11200077aa967
12a081449400
134b7c0bc654
142723493292
15153a58bb13
hexc14cc4300

51888538368 has 108 divisors (see below), whose sum is σ = 152143566120. Its totient is φ = 17002979328.

The previous prime is 51888538349. The next prime is 51888538369. The reversal of 51888538368 is 86383588815.

51888538368 is a `hidden beast` number, since 5 + 18 + 88 + 538 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (51888538369) 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 11 ways as a sum of consecutive naturals, for example, 54921 + ... + 326792.

Almost surely, 251888538368 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 51888538368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76071783060).

51888538368 is an abundant number, since it is smaller than the sum of its proper divisors (100255027752).

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

51888538368 is a wasteful number, since it uses less digits than its factorization.

51888538368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381794 (or 381777 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 63.

The spelling of 51888538368 in words is "fifty-one billion, eight hundred eighty-eight million, five hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3776 4248 5664 7552 8496 11328 15104 16992 22656 33984 45312 67968 135936 381713 763426 1145139 1526852 2290278 3053704 3435417 4580556 6107408 6870834 9161112 12214816 13741668 18322224 22521067 24429632 27483336 36644448 45042134 48859264 54966672 67563201 73288896 90084268 97718528 109933344 135126402 146577792 180168536 202689603 219866688 270252804 293155584 360337072 405379206 439733376 540505608 720674144 810758412 879466752 1081011216 1441348288 1621516824 2162022432 2882696576 3243033648 4324044864 5765393152 6486067296 8648089728 12972134592 17296179456 25944269184 51888538368