Search a number
-
+
169738837961 = 71161157123003
BaseRepresentation
bin1001111000010100111…
…0010001111111001001
3121020010101120101011012
42132011032101333021
510240111120303321
6205551004213305
715156200213540
oct2360516217711
9536111511135
10169738837961
1165a93170280
1228a9123a235
1313010b06c34
1483030d3157
15463695e05b
hex2785391fc9

169738837961 has 32 divisors (see below), whose sum is σ = 215237938176. Its totient is φ = 130007304000.

The previous prime is 169738837927. The next prime is 169738837979.

169738837961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 169738837961 - 222 = 169734643657 is a prime.

It is a super-2 number, since 2×1697388379612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 169738837891 and 169738837900.

It is not an unprimeable number, because it can be changed into a prime (169738837861) 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, 7367486 + ... + 7390488.

It is an arithmetic number, because the mean of its divisors is an integer number (6726185568).

Almost surely, 2169738837961 is an apocalyptic number.

169738837961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

169738837961 is a deficient number, since it is larger than the sum of its proper divisors (45499100215).

169738837961 is a wasteful number, since it uses less digits than its factorization.

169738837961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24653.

The product of its digits is 82301184, while the sum is 68.

The spelling of 169738837961 in words is "one hundred sixty-nine billion, seven hundred thirty-eight million, eight hundred thirty-seven thousand, nine hundred sixty-one".

Divisors: 1 7 11 61 77 427 671 1571 4697 10997 17281 23003 95831 120967 161021 253033 670817 1054141 1403183 1771231 7378987 9822281 15435013 36137713 108045091 252963991 397514843 2204400493 2782603901 15430803451 24248405423 169738837961