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51056105640 = 23352347393587
BaseRepresentation
bin101111100011001011…
…100101100010101000
311212210012001220012120
4233203023211202220
51314030330340030
635242125311240
73455134510641
oct574313454250
9155705056176
1051056105640
111a71a927931
129a8a705520
134a787c23c7
142684ac46c8
1514dc45a010
hexbe32e58a8

51056105640 has 128 divisors (see below), whose sum is σ = 163228815360. Its totient is φ = 12745889024.

The previous prime is 51056105621. The next prime is 51056105641. The reversal of 51056105640 is 4650165015.

51056105640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (51056105641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67074 + ... + 326513.

It is an arithmetic number, because the mean of its divisors is an integer number (1275225120).

Almost surely, 251056105640 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 51056105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81614407680).

51056105640 is an abundant number, since it is smaller than the sum of its proper divisors (112172709720).

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

51056105640 is a wasteful number, since it uses less digits than its factorization.

51056105640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393671 (or 393667 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 51056105640 in words is "fifty-one billion, fifty-six million, one hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 47 60 69 92 94 115 120 138 141 184 188 230 235 276 282 345 376 460 470 552 564 690 705 920 940 1081 1128 1380 1410 1880 2162 2760 2820 3243 4324 5405 5640 6486 8648 10810 12972 16215 21620 25944 32430 43240 64860 129720 393587 787174 1180761 1574348 1967935 2361522 3148696 3935870 4723044 5903805 7871740 9052501 9446088 11807610 15743480 18105002 18498589 23615220 27157503 36210004 36997178 45262505 47230440 54315006 55495767 72420008 73994356 90525010 92492945 108630012 110991534 135787515 147988712 181050020 184985890 217260024 221983068 271575030 277478835 362100040 369971780 425467547 443966136 543150060 554957670 739943560 850935094 1086300120 1109915340 1276402641 1701870188 2127337735 2219830680 2552805282 3403740376 4254675470 5105610564 6382013205 8509350940 10211221128 12764026410 17018701880 25528052820 51056105640