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10273017312 = 25321719710651
BaseRepresentation
bin10011001000101000…
…11100110111100000
3222111221111100110200
421210110130313200
5132014343023222
64415214225200
7512401130535
oct114424346740
928457440420
1010273017312
1143a1939a58
121ba84b5200
13c7942b78c
146d6510d8c
15401d3beac
hex26451cde0

10273017312 has 144 divisors (see below), whose sum is σ = 31092293232. Its totient is φ = 3206246400.

The previous prime is 10273017311. The next prime is 10273017487. The reversal of 10273017312 is 21371037201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10273017311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 959187 + ... + 969837.

It is an arithmetic number, because the mean of its divisors is an integer number (215918703).

Almost surely, 210273017312 is an apocalyptic number.

10273017312 is a gapful number since it is divisible by the number (12) 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 10273017312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546146616).

10273017312 is an abundant number, since it is smaller than the sum of its proper divisors (20819275920).

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

10273017312 is a wasteful number, since it uses less digits than its factorization.

10273017312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10881 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The spelling of 10273017312 in words is "ten billion, two hundred seventy-three million, seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 197 204 272 288 306 394 408 544 591 612 788 816 1182 1224 1576 1632 1773 2364 2448 3152 3349 3546 4728 4896 6304 6698 7092 9456 10047 10651 13396 14184 18912 20094 21302 26792 28368 30141 31953 40188 42604 53584 56736 60282 63906 80376 85208 95859 107168 120564 127812 160752 170416 181067 191718 241128 255624 321504 340832 362134 383436 482256 511248 543201 724268 766872 964512 1022496 1086402 1448536 1533744 1629603 2098247 2172804 2897072 3067488 3259206 4196494 4345608 5794144 6294741 6518412 8392988 8691216 12589482 13036824 16785976 17382432 18884223 25178964 26073648 33571952 35670199 37768446 50357928 52147296 67143904 71340398 75536892 100715856 107010597 142680796 151073784 201431712 214021194 285361592 302147568 321031791 428042388 570723184 604295136 642063582 856084776 1141446368 1284127164 1712169552 2568254328 3424339104 5136508656 10273017312