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1706197626225 = 3452290272
BaseRepresentation
bin11000110101000001010…
…011011010110101110001
320001002222211211212010000
4120311001103122311301
5210423243043014400
63343452200300213
7234161111350461
oct30650123326561
96032884755100
101706197626225
115a865a096934
1223680a171669
13c4b80737221
145c81a8c1ba1
152e5ae992600
hex18d414dad71

1706197626225 has 45 divisors (see below), whose sum is σ = 3160576684507. Its totient is φ = 909940718160.

The previous prime is 1706197626223. The next prime is 1706197626241. The reversal of 1706197626225 is 5226267916071.

It is a happy number.

The square root of 1706197626225 is 1306215.

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

1706197626225 is a `hidden beast` number, since 1 + 7 + 0 + 6 + 1 + 9 + 7 + 6 + 2 + 622 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 614231145441 + 1091966480784 = 783729^2 + 1044972^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 1706197626225 - 21 = 1706197626223 is a prime.

It is a super-2 number, since 2×17061976262252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1706197626223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58765162 + ... + 58794188.

Almost surely, 21706197626225 is an apocalyptic number.

1706197626225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1706197626225 is the 1306215-th square number.

1706197626225 is the 653108-th centered octagonal number.

It is an amenable number.

1706197626225 is a deficient number, since it is larger than the sum of its proper divisors (1454379058282).

1706197626225 is an frugal number, since it uses more digits than its factorization.

1706197626225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58076 (or 29035 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1706197626225 in words is "one trillion, seven hundred six billion, one hundred ninety-seven million, six hundred twenty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 29027 87081 145135 261243 435405 725675 783729 1306215 2177025 2351187 3918645 6531075 11755935 19593225 58779675 842566729 2527700187 4212833645 7583100561 12638500935 21064168225 22749301683 37915502805 63192504675 68247905049 113746508415 189577514025 341239525245 568732542075 1706197626225