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516266007712 = 25713229470263
BaseRepresentation
bin1111000001100111101…
…10100001110010100000
31211100120110120112000121
413200303312201302200
531424303044221322
61033100324130024
752204360442350
oct7406366416240
91740513515017
10516266007712
11189a4677a884
1284080536914
13398b705c900
141adb763ab60
15d668b70ec7
hex7833da1ca0

516266007712 has 144 divisors (see below), whose sum is σ = 1301201677440. Its totient is φ = 197194023936.

The previous prime is 516266007709. The next prime is 516266007737. The reversal of 516266007712 is 217700662615.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862693 + ... + 1332955.

It is an arithmetic number, because the mean of its divisors is an integer number (9036122760).

Almost surely, 2516266007712 is an apocalyptic number.

516266007712 is a gapful number since it is divisible by the number (52) 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 516266007712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650600838720).

516266007712 is an abundant number, since it is smaller than the sum of its proper divisors (784935669728).

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

516266007712 is a wasteful number, since it uses less digits than its factorization.

516266007712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470335 (or 470314 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The spelling of 516266007712 in words is "five hundred sixteen billion, two hundred sixty-six million, seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 91 104 112 116 169 182 203 208 224 232 338 364 377 406 416 464 676 728 754 812 928 1183 1352 1456 1508 1624 2366 2639 2704 2912 3016 3248 4732 4901 5278 5408 6032 6496 9464 9802 10556 12064 18928 19604 21112 34307 37856 39208 42224 68614 78416 84448 137228 156832 274456 470263 548912 940526 1097824 1881052 3291841 3762104 6113419 6583682 7524208 12226838 13167364 13637627 15048416 24453676 26334728 27275254 42793933 48907352 52669456 54550508 79474447 85587866 95463389 97814704 105338912 109101016 158948894 171175732 177289151 190926778 195629408 218202032 317897788 342351464 354578302 381853556 436404064 556321129 635795576 684702928 709156604 763707112 1112642258 1241024057 1271591152 1369405856 1418313208 1527414224 2225284516 2304758963 2482048114 2543182304 2836626416 3054828448 4450569032 4609517926 4964096228 5673252832 8901138064 9219035852 9928192456 16133312741 17802276128 18438071704 19856384912 32266625482 36876143408 39712769824 64533250964 73752286816 129066501928 258133003856 516266007712