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51543434320 = 24572632691301
BaseRepresentation
bin110000000000001110…
…100110010001010000
311221001011001202110221
4300000032212101100
51321030104344240
635402334402424
73503202651160
oct600016462120
9157034052427
1051543434320
111a94aa1a104
129ba5960414
134b2575ba81
1426cd6dc5a0
15151a11da4a
hexc003a6450

51543434320 has 160 divisors (see below), whose sum is σ = 138096161280. Its totient is φ = 17525913600.

The previous prime is 51543434303. The next prime is 51543434321. The reversal of 51543434320 is 2343434515.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51543434321) 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 31 ways as a sum of consecutive naturals, for example, 39617670 + ... + 39618970.

It is an arithmetic number, because the mean of its divisors is an integer number (863101008).

Almost surely, 251543434320 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 51543434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69048080640).

51543434320 is an abundant number, since it is smaller than the sum of its proper divisors (86552726960).

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

51543434320 is a wasteful number, since it uses less digits than its factorization.

51543434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 51543434320 its reverse (2343434515), we get a palindrome (53886868835).

The spelling of 51543434320 in words is "fifty-one billion, five hundred forty-three million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 263 269 280 526 538 560 1052 1076 1301 1315 1345 1841 1883 2104 2152 2602 2630 2690 3682 3766 4208 4304 5204 5260 5380 6505 7364 7532 9107 9205 9415 10408 10520 10760 13010 14728 15064 18214 18410 18830 20816 21040 21520 26020 29456 30128 36428 36820 37660 45535 52040 70747 72856 73640 75320 91070 104080 141494 145712 147280 150640 182140 282988 342163 349969 353735 364280 495229 565976 684326 699938 707470 728560 990458 1131952 1368652 1399876 1414940 1710815 1749845 1980916 2395141 2449783 2476145 2737304 2799752 2829880 3421630 3499690 3961832 4790282 4899566 4952290 5474608 5599504 5659760 6843260 6999380 7923664 9580564 9799132 9904580 11975705 12248915 13686520 13998760 19161128 19598264 19809160 23951410 24497830 27373040 27997520 38322256 39196528 39618320 47902820 48995660 92041847 95805640 97991320 184083694 191611280 195982640 368167388 460209235 644292929 736334776 920418470 1288585858 1472669552 1840836940 2577171716 3221464645 3681673880 5154343432 6442929290 7363347760 10308686864 12885858580 25771717160 51543434320