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307327205641 = 372149832
BaseRepresentation
bin1000111100011100010…
…00010000000100001001
31002101021011100122021211
410132032020100010021
520013401231040031
6353103440333121
731126566101041
oct4361610200411
91071234318254
10307327205641
11109378217355
124b68b3141a1
1322c99b69751
1410c36314721
157edaaacbb1
hex478e210109

307327205641 has 9 divisors (see below), whose sum is σ = 315878919111. Its totient is φ = 299001107592.

The previous prime is 307327205617. The next prime is 307327205677. The reversal of 307327205641 is 146502723703.

The square root of 307327205641 is 554371.

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., 275000604025 + 32326601616 = 524405^2 + 179796^2 .

It is not a de Polignac number, because 307327205641 - 219 = 307326681353 is a prime.

It is a super-2 number, since 2×3073272056412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 307327205594 and 307327205603.

It is not an unprimeable number, because it can be changed into a prime (307327205441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20504236 + ... + 20519218.

It is an arithmetic number, because the mean of its divisors is an integer number (35097657679).

Almost surely, 2307327205641 is an apocalyptic number.

307327205641 is the 554371-st square number.

307327205641 is the 277186-th centered octagonal number.

It is an amenable number.

307327205641 is a deficient number, since it is larger than the sum of its proper divisors (8551713470).

307327205641 is an frugal number, since it uses more digits than its factorization.

307327205641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30040 (or 15020 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 307327205641 in words is "three hundred seven billion, three hundred twenty-seven million, two hundred five thousand, six hundred forty-one".

Divisors: 1 37 1369 14983 554371 20511727 224490289 8306140693 307327205641