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51081162640 = 2453158735089
BaseRepresentation
bin101111100100101011…
…001010111110010000
311212211221012220221121
4233210223022332100
51314103234201030
635244422332024
73455560501264
oct574453127620
9155757186847
1051081162640
111a732a915a2
129a96b8a014
134a80a56531
1426881680a4
1514de75947a
hexbe4acaf90

51081162640 has 80 divisors (see below), whose sum is σ = 122807139840. Its totient is φ = 19739105280.

The previous prime is 51081162611. The next prime is 51081162647. The reversal of 51081162640 is 4626118015.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 51081162596 and 51081162605.

It is not an unprimeable number, because it can be changed into a prime (51081162647) 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 15 ways as a sum of consecutive naturals, for example, 1438216 + ... + 1473304.

It is an arithmetic number, because the mean of its divisors is an integer number (1535089248).

Almost surely, 251081162640 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 51081162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61403569920).

51081162640 is an abundant number, since it is smaller than the sum of its proper divisors (71725977200).

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

51081162640 is a wasteful number, since it uses less digits than its factorization.

51081162640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35720 (or 35714 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 51081162640 in words is "fifty-one billion, eighty-one million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 587 620 1174 1240 2348 2480 2935 4696 5870 9392 11740 18197 23480 35089 36394 46960 70178 72788 90985 140356 145576 175445 181970 280712 291152 350890 363940 561424 701780 727880 1087759 1403560 1455760 2175518 2807120 4351036 5438795 8702072 10877590 17404144 20597243 21755180 41194486 43510360 82388972 87020720 102986215 164777944 205972430 329555888 411944860 638514533 823889720 1277029066 1647779440 2554058132 3192572665 5108116264 6385145330 10216232528 12770290660 25540581320 51081162640