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354769140625 = 589532
BaseRepresentation
bin1010010100110011110…
…00110111101110010001
31020220201110201122101221
411022121320313232101
521303031400000000
6430551221525041
734426336640224
oct5123170675621
91226643648357
10354769140625
11127502a27289
125890b573781
13275ba959a23
1413256ddb5bb
159365aa761a
hex5299e37b91

354769140625 has 27 divisors (see below), whose sum is σ = 443927018803. Its totient is φ = 283517500000.

The previous prime is 354769140613. The next prime is 354769140653. The reversal of 354769140625 is 526041967453.

The square root of 354769140625 is 595625.

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

It can be written as a sum of positive squares in 13 ways, for example, as 6319773009 + 348449367616 = 79497^2 + 590296^2 .

It is not a de Polignac number, because 354769140625 - 29 = 354769140113 is a prime.

It is a super-2 number, since 2×3547691406252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

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, 372265149 + ... + 372266101.

Almost surely, 2354769140625 is an apocalyptic number.

354769140625 is the 595625-th square number.

354769140625 is the 297813-rd centered octagonal number.

It is an amenable number.

354769140625 is a deficient number, since it is larger than the sum of its proper divisors (89157878178).

354769140625 is an frugal number, since it uses more digits than its factorization.

354769140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 354769140625 in words is "three hundred fifty-four billion, seven hundred sixty-nine million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 953 3125 4765 15625 23825 78125 119125 390625 595625 908209 2978125 4541045 14890625 22705225 74453125 113526125 372265625 567630625 2838153125 14190765625 70953828125 354769140625