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706667070408 = 23313107208910133
BaseRepresentation
bin10100100100010001010…
…00111100001111001000
32111120000211202122222120
422102020220330033020
543034223232223113
61300345515451240
7102024603663405
oct12221050741710
92446024678876
10706667070408
11252772158342
12b4b59456b20
135183b7b5810
14262ba9592ac
15135ae55aa23
hexa488a3c3c8

706667070408 has 128 divisors (see below), whose sum is σ = 1921455043200. Its totient is φ = 215279548416.

The previous prime is 706667070391. The next prime is 706667070437. The reversal of 706667070408 is 804070766607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69734110 + ... + 69744242.

It is an arithmetic number, because the mean of its divisors is an integer number (15011367525).

Almost surely, 2706667070408 is an apocalyptic number.

706667070408 is a gapful number since it is divisible by the number (78) 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 706667070408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960727521600).

706667070408 is an abundant number, since it is smaller than the sum of its proper divisors (1214787972792).

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

706667070408 is a wasteful number, since it uses less digits than its factorization.

706667070408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12351 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 706667070408 in words is "seven hundred six billion, six hundred sixty-seven million, seventy thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 107 156 214 312 321 428 642 856 1284 1391 2089 2568 2782 4173 4178 5564 6267 8346 8356 10133 11128 12534 16692 16712 20266 25068 27157 30399 33384 40532 50136 54314 60798 81064 81471 108628 121596 131729 162942 217256 223523 243192 263458 325884 395187 447046 526916 651768 670569 790374 894092 1053832 1084231 1341138 1580748 1788184 2168462 2682276 2905799 3161496 3252693 4336924 5364552 5811598 6505386 8673848 8717397 11623196 13010772 14095003 17434794 21167837 23246392 26021544 28190006 34869588 42285009 42335674 56380012 63503511 69739176 84570018 84671348 112760024 127007022 169140036 169342696 254014044 275181881 338280072 508028088 550363762 825545643 1100727524 1651091286 2201455048 2264958559 3302182572 4529917118 6604365144 6794875677 9059834236 13589751354 18119668472 27179502708 29444461267 54359005416 58888922534 88333383801 117777845068 176666767602 235555690136 353333535204 706667070408