Search a number
-
+
397680323161 = 112573292
BaseRepresentation
bin1011100100101111001…
…10000010101001011001
31102000111000200120120211
411302113212002221121
523003422130320121
6502405233251121
740505613654532
oct5622746025131
91360430616524
10397680323161
111437231a1900
12650a6403aa1
132b668b96bb4
1415368091689
15a527e3bce1
hex5c97982a59

397680323161 has 9 divisors (see below), whose sum is σ = 437127318943. Its totient is φ = 361521260320.

The previous prime is 397680323147. The next prime is 397680323167. The reversal of 397680323161 is 161323086793.

The square root of 397680323161 is 630619.

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., 14964873561 + 382715449600 = 122331^2 + 618640^2 .

It is not a de Polignac number, because 397680323161 - 29 = 397680322649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397680323167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6908145 + ... + 6965473.

Almost surely, 2397680323161 is an apocalyptic number.

397680323161 is the 630619-th square number.

397680323161 is the 315310-th centered octagonal number.

It is an amenable number.

397680323161 is a deficient number, since it is larger than the sum of its proper divisors (39446995782).

397680323161 is an frugal number, since it uses more digits than its factorization.

397680323161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114680 (or 57340 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 397680323161 by its sum of digits (49), we get a square (19486335834889 = 44143332).

The spelling of 397680323161 in words is "three hundred ninety-seven billion, six hundred eighty million, three hundred twenty-three thousand, one hundred sixty-one".

Divisors: 1 11 121 57329 630619 6936809 3286614241 36152756651 397680323161