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709465920804 = 223279217772
BaseRepresentation
bin10100101001011110111…
…01101101010100100100
32111211020220021222221100
422110233131231110210
543110441233431204
61301531340520100
7102154140553164
oct12245735552444
92454226258840
10709465920804
11253979020043
12b55ba850030
1351b965cc704
14264a45605a4
15136c5119a39
hexa52f76d524

709465920804 has 81 divisors (see below), whose sum is σ = 1817383180977. Its totient is φ = 233363714688.

The previous prime is 709465920773. The next prime is 709465920827. The reversal of 709465920804 is 408029564907.

The square root of 709465920804 is 842298.

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

709465920804 is a `hidden beast` number, since 7 + 0 + 9 + 46 + 592 + 0 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 359532152100 + 349933768704 = 599610^2 + 591552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 399248364 + ... + 399250140.

Almost surely, 2709465920804 is an apocalyptic number.

709465920804 is the 842298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 709465920804

709465920804 is an abundant number, since it is smaller than the sum of its proper divisors (1107917260173).

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

709465920804 is an equidigital number, since it uses as much as digits as its factorization.

709465920804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 1861 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 709465920804 in words is "seven hundred nine billion, four hundred sixty-five million, nine hundred twenty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 1777 2844 3554 5331 6241 7108 10662 12482 15993 18723 21324 24964 31986 37446 56169 63972 74892 112338 140383 224676 280766 421149 561532 842298 1263447 1684596 2526894 3157729 5053788 6315458 9473187 11090257 12630916 18946374 22180514 28419561 33270771 37892748 44361028 56839122 66541542 99812313 113678244 133083084 199624626 249460591 399249252 498921182 748381773 997842364 1496763546 2245145319 2993527092 4490290638 8980581276 19707386689 39414773378 59122160067 78829546756 118244320134 177366480201 236488640268 354732960402 709465920804