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51302120000 = 26541399227
BaseRepresentation
bin101111110001110110…
…000011101001000000
311220102022222201110112
4233301312003221000
51320031320320000
635322354250452
73464212552655
oct576166035100
9156368881415
1051302120000
111a83678908a
129b38b86a28
134ab776a931
1426a9643c2c
151503d53235
hexbf1d83a40

51302120000 has 140 divisors (see below), whose sum is σ = 128141669040. Its totient is φ = 20371008000.

The previous prime is 51302119997. The next prime is 51302120033. The reversal of 51302120000 is 2120315.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5555387 + ... + 5564613.

It is an arithmetic number, because the mean of its divisors is an integer number (915297636).

Almost surely, 251302120000 is an apocalyptic number.

51302120000 is a gapful number since it is divisible by the number (50) 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 51302120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64070834520).

51302120000 is an abundant number, since it is smaller than the sum of its proper divisors (76839549040).

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

51302120000 is an equidigital number, since it uses as much as digits as its factorization.

51302120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9373 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 51302120000 its reverse (2120315), we get a palindrome (51304240315).

The spelling of 51302120000 in words is "fifty-one billion, three hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 139 160 200 250 278 320 400 500 556 625 695 800 1000 1112 1250 1390 1600 2000 2224 2500 2780 3475 4000 4448 5000 5560 6950 8000 8896 9227 10000 11120 13900 17375 18454 20000 22240 27800 34750 36908 40000 44480 46135 55600 69500 73816 86875 92270 111200 139000 147632 173750 184540 222400 230675 278000 295264 347500 369080 461350 556000 590528 695000 738160 922700 1112000 1153375 1282553 1390000 1476320 1845400 2306750 2565106 2780000 2952640 3690800 4613500 5130212 5560000 5766875 6412765 7381600 9227000 10260424 11533750 12825530 14763200 18454000 20520848 23067500 25651060 32063825 36908000 41041696 46135000 51302120 64127650 73816000 82083392 92270000 102604240 128255300 160319125 184540000 205208480 256510600 320638250 369080000 410416960 513021200 641276500 801595625 1026042400 1282553000 1603191250 2052084800 2565106000 3206382500 5130212000 6412765000 10260424000 12825530000 25651060000 51302120000