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65125913248 = 2511253317353
BaseRepresentation
bin111100101001110011…
…101001001010100000
320020002201220011211001
4330221303221022200
52031334213210443
645530214201344
74463611062124
oct745163511240
9206081804731
1065125913248
112568a975600
1210756653254
1361ab703356
14321b56d584
151a6277bd4d
hexf29ce92a0

65125913248 has 72 divisors (see below), whose sum is σ = 143591894964. Its totient is φ = 29044055040.

The previous prime is 65125913219. The next prime is 65125913257. The reversal of 65125913248 is 84231952156.

It can be written as a sum of positive squares in 2 ways, for example, as 63497952144 + 1627961104 = 251988^2 + 40348^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65125913198 and 65125913207.

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 11 ways as a sum of consecutive naturals, for example, 46540 + ... + 363892.

Almost surely, 265125913248 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 65125913248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71795947482).

65125913248 is an abundant number, since it is smaller than the sum of its proper divisors (78465981716).

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

65125913248 is a wasteful number, since it uses less digits than its factorization.

65125913248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317438 (or 317419 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 65125913248 in words is "sixty-five billion, one hundred twenty-five million, nine hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 121 176 212 242 352 424 484 583 848 968 1166 1696 1936 2332 3872 4664 6413 9328 12826 18656 25652 51304 102608 205216 317353 634706 1269412 2538824 3490883 5077648 6981766 10155296 13963532 16819709 27927064 33639418 38399713 55854128 67278836 76799426 111708256 134557672 153598852 185016799 269115344 307197704 370033598 538230688 614395408 740067196 1228790816 1480134392 2035184789 2960268784 4070369578 5920537568 8140739156 16281478312 32562956624 65125913248