Search a number
-
+
47792955457 = 1321797317541
BaseRepresentation
bin101100100000101011…
…101010000001000001
311120100202212200200101
4230200223222001001
51240334444033312
633542240522401
73311232263362
oct544053520101
9146322780611
1047792955457
11192a59718a5
129319920401
134678742b00
14245557bb69
15139ac35a57
hexb20aea041

47792955457 has 48 divisors (see below), whose sum is σ = 55638585072. Its totient is φ = 40888074240.

The previous prime is 47792955449. The next prime is 47792955473. The reversal of 47792955457 is 75455929774.

It is a Cunningham number, because it is equal to 2186162+1.

It can be written as a sum of positive squares in 24 ways, for example, as 46052730801 + 1740224656 = 214599^2 + 41716^2 .

It is not a de Polignac number, because 47792955457 - 23 = 47792955449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47792955437) 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 47 ways as a sum of consecutive naturals, for example, 88341607 + ... + 88342147.

It is an arithmetic number, because the mean of its divisors is an integer number (1159137189).

Almost surely, 247792955457 is an apocalyptic number.

It is an amenable number.

47792955457 is a deficient number, since it is larger than the sum of its proper divisors (7845629615).

47792955457 is a wasteful number, since it uses less digits than its factorization.

47792955457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its digits is 111132000, while the sum is 64.

The spelling of 47792955457 in words is "forty-seven billion, seven hundred ninety-two million, nine hundred fifty-five thousand, four hundred fifty-seven".

Divisors: 1 13 17 97 169 221 317 541 1261 1649 2873 4121 5389 7033 9197 16393 21437 30749 52477 53573 70057 91429 119561 171497 278681 399737 522733 682201 892109 910741 1554293 2229461 2915449 5196581 6795529 8868613 11597417 16635209 28982993 37900837 88341877 150766421 216257717 282798553 492710881 2811350321 3676381189 47792955457