Search a number
-
+
16983742657 = 727321792
BaseRepresentation
bin11111101000100111…
…10101100011000001
31121211121220112000211
433310103311203001
5234240314231112
611445140314121
71140605300500
oct176423654301
947747815024
1016983742657
117225975262
12335b9a2941
1317a882068b
14b7188a837
156960650a7
hex3f44f58c1

16983742657 has 18 divisors (see below), whose sum is σ = 20036432178. Its totient is φ = 14351486688.

The previous prime is 16983742619. The next prime is 16983742693. The reversal of 16983742657 is 75624738961.

It can be written as a sum of positive squares in only one way, i.e., 14889856576 + 2093886081 = 122024^2 + 45759^2 .

It is a de Polignac number, because none of the positive numbers 2k-16983742657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16983742757) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7793194 + ... + 7795372.

It is an arithmetic number, because the mean of its divisors is an integer number (1113135121).

Almost surely, 216983742657 is an apocalyptic number.

It is an amenable number.

16983742657 is a deficient number, since it is larger than the sum of its proper divisors (3052689521).

16983742657 is an frugal number, since it uses more digits than its factorization.

16983742657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 2259 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 16983742657 in words is "sixteen billion, nine hundred eighty-three million, seven hundred forty-two thousand, six hundred fifty-seven".

Divisors: 1 7 49 73 511 2179 3577 15253 106771 159067 1113469 4748041 7794283 33236287 232654009 346606993 2426248951 16983742657