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706650390625 = 5102692
BaseRepresentation
bin10100100100001111010…
…01010100000001100001
32111112222200101020121211
422102013221110001201
543034210000000000
61300344122150121
7102024312133324
oct12220751240141
92445880336554
10706650390625
112527637a55a3
12b4b53952341
13518381c571a
14262b86567bb
15135acd637ba
hexa487a54061

706650390625 has 33 divisors (see below), whose sum is σ = 886608868561. Its totient is φ = 563218750000.

The previous prime is 706650390623. The next prime is 706650390661. The reversal of 706650390625 is 526093056607.

It is a happy number.

The square root of 706650390625 is 840625.

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

It can be written as a sum of positive squares in 16 ways, for example, as 630129553249 + 76520837376 = 793807^2 + 276624^2 .

It is not a de Polignac number, because 706650390625 - 21 = 706650390623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (706650390623) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 2626952991 + ... + 2626953259.

Almost surely, 2706650390625 is an apocalyptic number.

706650390625 is the 840625-th square number.

706650390625 is the 420313-rd centered octagonal number.

It is an amenable number.

706650390625 is a deficient number, since it is larger than the sum of its proper divisors (179958477936).

706650390625 is an frugal number, since it uses more digits than its factorization.

706650390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 49.

Multiplying 706650390625 by its sum of digits (49), we get a square (34625869140625 = 58843752).

The spelling of 706650390625 in words is "seven hundred six billion, six hundred fifty million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 25 125 269 625 1345 3125 6725 15625 33625 72361 78125 168125 361805 390625 840625 1809025 1953125 4203125 9045125 9765625 21015625 45225625 105078125 226128125 525390625 1130640625 2626953125 5653203125 28266015625 141330078125 706650390625