Search a number
-
+
2948617541441 = 1113175920558029
BaseRepresentation
bin101010111010000111010…
…011010001011101000001
3101102212220020002221012102
4222322013103101131001
5341302232042311231
610134324243040145
7423013330364645
oct52720723213501
911385806087172
102948617541441
11a375578060a0
123b7566070055
13185090543a80
14a29dcb3cc25
1551a78821acb
hex2ae874d1741

2948617541441 has 32 divisors (see below), whose sum is σ = 3730048963200. Its totient is φ = 2289341998080.

The previous prime is 2948617541437. The next prime is 2948617541447. The reversal of 2948617541441 is 1441457168492.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2948617541441 - 22 = 2948617541437 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2948617541447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10135586 + ... + 10422443.

It is an arithmetic number, because the mean of its divisors is an integer number (116564030100).

Almost surely, 22948617541441 is an apocalyptic number.

It is an amenable number.

2948617541441 is a deficient number, since it is larger than the sum of its proper divisors (781431421759).

2948617541441 is a wasteful number, since it uses less digits than its factorization.

2948617541441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20558129.

The product of its digits is 7741440, while the sum is 56.

The spelling of 2948617541441 in words is "two trillion, nine hundred forty-eight billion, six hundred seventeen million, five hundred forty-one thousand, four hundred forty-one".

Divisors: 1 11 13 17 59 143 187 221 649 767 1003 2431 8437 11033 13039 143429 20558029 226138319 267254377 349486493 1212923711 2939798147 3844351423 4543324409 13342160821 15768008243 20619703087 49976568499 173448090673 226816733957 268056140131 2948617541441