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51327537976 = 231113832412243
BaseRepresentation
bin101111110011010111…
…000001001100111000
311220111002211002101001
4233303113001030320
51320104322203401
635325103134344
73464641605601
oct576327011470
9156432732331
1051327537976
111a84a069a80
129b455a43b4
134abcaca160
1426acb7cda8
1515061c4601
hexbf35c1338

51327537976 has 128 divisors (see below), whose sum is σ = 114952400640. Its totient is φ = 21178828800.

The previous prime is 51327537971. The next prime is 51327537991. The reversal of 51327537976 is 67973572315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51327537971) by changing a digit.

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, 22882311 + ... + 22884553.

It is an arithmetic number, because the mean of its divisors is an integer number (898065630).

Almost surely, 251327537976 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 51327537976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57476200320).

51327537976 is an abundant number, since it is smaller than the sum of its proper divisors (63624862664).

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

51327537976 is a wasteful number, since it uses less digits than its factorization.

51327537976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2597 (or 2593 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 55.

The spelling of 51327537976 in words is "fifty-one billion, three hundred twenty-seven million, five hundred thirty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 13 22 26 44 52 83 88 104 143 166 241 286 332 482 572 664 913 964 1079 1144 1826 1928 2158 2243 2651 3133 3652 4316 4486 5302 6266 7304 8632 8972 10604 11869 12532 17944 20003 21208 23738 24673 25064 29159 34463 40006 47476 49346 58318 68926 80012 94952 98692 116636 137852 160024 186169 197384 220033 233272 260039 275704 320749 372338 440066 520078 540563 641498 744676 880132 1040156 1081126 1282996 1489352 1760264 2047859 2080312 2162252 2420197 2565992 2860429 4095718 4324504 4840394 5720858 5946193 7027319 8191436 9680788 11441716 11892386 14054638 16382872 19361576 22883432 23784772 26622167 28109276 44866729 47569544 53244334 56218552 77300509 89733458 106488668 154601018 179466916 212977336 309202036 358933832 493534019 583267477 618404072 987068038 1166534954 1974136076 2333069908 3948272152 4666139816 6415942247 12831884494 25663768988 51327537976