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10255350352 = 2413197353709
BaseRepresentation
bin10011000110100010…
…00011101001010000
3222110201020202221211
421203101003221100
5132000332202402
64413343425504
7512065016422
oct114321035120
928421222854
1010255350352
114392972565
121ba25b5294
13c75884260
146d4032812
154004ec4d7
hex263443a50

10255350352 has 80 divisors (see below), whose sum is σ = 21598148880. Its totient is φ = 4689248256.

The previous prime is 10255350349. The next prime is 10255350383. The reversal of 10255350352 is 25305355201.

It can be written as a sum of positive squares in 8 ways, for example, as 163942416 + 10091407936 = 12804^2 + 100456^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464174 + ... + 14464882.

It is an arithmetic number, because the mean of its divisors is an integer number (269976861).

Almost surely, 210255350352 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 10255350352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799074440).

10255350352 is an abundant number, since it is smaller than the sum of its proper divisors (11342798528).

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

10255350352 is a wasteful number, since it uses less digits than its factorization.

10255350352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 31.

The spelling of 10255350352 in words is "ten billion, two hundred fifty-five million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 353 394 706 709 788 1412 1418 1576 2561 2824 2836 3152 4589 5122 5648 5672 9178 9217 10244 11344 18356 18434 20488 36712 36868 40976 69541 73424 73736 139082 139673 147472 250277 278164 279346 500554 556328 558692 904033 1001108 1112656 1117384 1808066 1815749 2002216 2234768 3253601 3616132 3631498 4004432 6507202 7232264 7262996 13014404 14464528 14525992 26028808 29051984 49304569 52057616 98609138 197218276 394436552 640959397 788873104 1281918794 2563837588 5127675176 10255350352