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2793313885041 = 32172327712
BaseRepresentation
bin101000101001011110011…
…110110101101101110001
3100220001000211212202111100
4220221132132311231301
5331231201323310131
65535121454435013
7405544631160411
oct50513636655561
910801024782440
102793313885041
11987701959439
12391443202a69
131735402578b4
14992a8c44641
154c9d93087e6
hex28a5e7b5b71

2793313885041 has 27 divisors (see below), whose sum is σ = 4286219111083. Its totient is φ = 1752614053440.

The previous prime is 2793313884971. The next prime is 2793313885081. The reversal of 2793313885041 is 1405883133972.

The square root of 2793313885041 is 1671321.

It is a perfect power (a square), and thus also a powerful number.

2793313885041 is a `hidden beast` number, since 2 + 79 + 3 + 31 + 38 + 8 + 504 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2174725343025 + 618588542016 = 1474695^2 + 786504^2 .

It is not a de Polignac number, because 2793313885041 - 213 = 2793313876849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2793313885081) 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, 85220986 + ... + 85253756.

Almost surely, 22793313885041 is an apocalyptic number.

2793313885041 is the 1671321-st square number.

2793313885041 is the 835661-st centered octagonal number.

It is an amenable number.

2793313885041 is a deficient number, since it is larger than the sum of its proper divisors (1492905226042).

2793313885041 is an frugal number, since it uses more digits than its factorization.

2793313885041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65582 (or 32791 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2793313885041 in words is "two trillion, seven hundred ninety-three billion, three hundred thirteen million, eight hundred eighty-five thousand, forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 32771 98313 294939 557107 1671321 5013963 9470819 28412457 85237371 1073938441 3221815323 9665445969 18256953497 54770860491 164312581473 310368209449 931104628347 2793313885041