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706329308356 = 227217323472
BaseRepresentation
bin10100100011101001000…
…00011110110011000100
32111112011022012120112221
422101310200132303010
543033030300331411
61300252212222124
7102013333026400
oct12216440366304
92445138176487
10706329308356
11252609531751
12b4a8430a944
13517b6825a09
1426287b56100
151358ea8d071
hexa47481ecc4

706329308356 has 81 divisors (see below), whose sum is σ = 1450424040429. Its totient is φ = 300095449248.

The previous prime is 706329308339. The next prime is 706329308371. The reversal of 706329308356 is 653803923607.

The square root of 706329308356 is 840434.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 642514464900 + 63814843456 = 801570^2 + 252616^2 .

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 26 ways as a sum of consecutive naturals, for example, 2035530975 + ... + 2035531321.

Almost surely, 2706329308356 is an apocalyptic number.

706329308356 is the 840434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 706329308356

706329308356 is an abundant number, since it is smaller than the sum of its proper divisors (744094732073).

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

706329308356 is an equidigital number, since it uses as much as digits as its factorization.

706329308356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 706329308356 in words is "seven hundred six billion, three hundred twenty-nine million, three hundred eight thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 347 692 694 1211 1388 2422 2429 4844 4858 8477 9716 16954 17003 29929 33908 34006 59858 60031 68012 119716 120062 120409 209503 240124 240818 419006 420217 481636 838012 840434 842863 1466521 1680868 1685726 2933042 2941519 3371452 5866084 5883038 5900041 10385363 11766076 11800082 20770726 20830757 23600164 41541452 41661514 72697541 83323028 145395082 145815299 290790164 291630598 508882787 583261196 1017765574 1020707093 2035531148 2041414186 3603720961 4082828372 7207441922 14414883844 25226046727 50452093454 100904186908 176582327089 353164654178 706329308356