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51091551684 = 22331922575099
BaseRepresentation
bin101111100101010010…
…110011010111000100
311212212122202202001000
4233211102303113010
51314113414123214
635245433133300
73456045011115
oct574522632704
9155778682030
1051091551684
111a738937a88
129a9a55a230
134a82c531b4
1426896b020c
1514e060c809
hexbe54b35c4

51091551684 has 144 divisors (see below), whose sum is σ = 140369544000. Its totient is φ = 16068243456.

The previous prime is 51091551683. The next prime is 51091551689. The reversal of 51091551684 is 48615519015.

51091551684 is a `hidden beast` number, since 5 + 1 + 0 + 91 + 551 + 6 + 8 + 4 = 666.

It is a super-2 number, since 2×510915516842 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51091551683) 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 47 ways as a sum of consecutive naturals, for example, 10017367 + ... + 10022465.

It is an arithmetic number, because the mean of its divisors is an integer number (974788500).

Almost surely, 251091551684 is an apocalyptic number.

51091551684 is a gapful number since it is divisible by the number (54) 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 51091551684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70184772000).

51091551684 is an abundant number, since it is smaller than the sum of its proper divisors (89277992316).

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

51091551684 is a wasteful number, since it uses less digits than its factorization.

51091551684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5407 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 45.

The spelling of 51091551684 in words is "fifty-one billion, ninety-one million, five hundred fifty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 257 342 361 513 514 684 722 771 1026 1028 1083 1444 1542 2052 2166 2313 3084 3249 4332 4626 4883 5099 6498 6939 9252 9747 9766 10198 12996 13878 14649 15297 19494 19532 20396 27756 29298 30594 38988 43947 45891 58596 61188 87894 91782 92777 96881 131841 137673 175788 183564 185554 193762 263682 275346 278331 290643 371108 387524 527364 550692 556662 581286 834993 871929 1113324 1162572 1310443 1669986 1743858 1840739 2504979 2615787 2620886 3339972 3487716 3681478 3931329 5009958 5231574 5241772 5522217 7362956 7862658 10019916 10463148 11044434 11793987 15725316 16566651 22088868 23587974 24898417 33133302 35381961 47175948 49699953 49796834 66266604 70763922 74695251 99399906 99593668 141527844 149390502 198799812 224085753 298781004 448171506 473069923 672257259 896343012 946139846 1344514518 1419209769 1892279692 2689029036 2838419538 4257629307 5676839076 8515258614 12772887921 17030517228 25545775842 51091551684