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57963933049 = 1124325092
BaseRepresentation
bin110101111110111010…
…110110110101111001
312112121121100212222011
4311332322312311321
51422202231324144
642343412125521
74121254205311
oct657672666571
9175547325864
1057963933049
1122645146900
12b2980068a1
135609995549
142b3c2ca441
151793b18a34
hexd7eeb6d79

57963933049 has 27 divisors (see below), whose sum is σ = 65356966479. Its totient is φ = 51367913520.

The previous prime is 57963933017. The next prime is 57963933059. The reversal of 57963933049 is 94033936975.

The square root of 57963933049 is 240757.

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., 47135449449 + 10828483600 = 217107^2 + 104060^2 .

It is not a de Polignac number, because 57963933049 - 25 = 57963933017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57963932984 and 57963933002.

It is not an unprimeable number, because it can be changed into a prime (57963933059) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113877807 + ... + 113878315.

Almost surely, 257963933049 is an apocalyptic number.

57963933049 is the 240757-th square number.

57963933049 is the 120379-th centered octagonal number.

It is an amenable number.

57963933049 is a deficient number, since it is larger than the sum of its proper divisors (7393033430).

57963933049 is an frugal number, since it uses more digits than its factorization.

57963933049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 16533720, while the sum is 58.

The spelling of 57963933049 in words is "fifty-seven billion, nine hundred sixty-three million, nine hundred thirty-three thousand, forty-nine".

Divisors: 1 11 43 121 473 509 1849 5203 5599 20339 21887 61589 223729 240757 259081 941141 2648327 2849891 10352551 11140483 31348801 113878061 122545313 479040769 1347998443 5269448459 57963933049