Search a number
-
+
351361163153 = 711132231173947
BaseRepresentation
bin1010001110011101100…
…00011101111110010001
31020120220222000110012002
411013032300131332101
521224041424210103
6425225121043345
734246025415650
oct5071660357621
91216828013162
10351361163153
11126014242380
125811a186555
132719689cb00
1413012555197
1592167c6488
hex51cec1df91

351361163153 has 48 divisors (see below), whose sum is σ = 494974043136. Its totient is φ = 241738960320.

The previous prime is 351361163141. The next prime is 351361163159.

351361163153 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 351361163153 - 216 = 351361097617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (351361163159) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287675 + ... + 886272.

It is an arithmetic number, because the mean of its divisors is an integer number (10311959232).

Almost surely, 2351361163153 is an apocalyptic number.

It is an amenable number.

351361163153 is a deficient number, since it is larger than the sum of its proper divisors (143612879983).

351361163153 is a wasteful number, since it uses less digits than its factorization.

351361163153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174014 (or 1174001 counting only the distinct ones).

The product of its digits is 72900, while the sum is 38.

The spelling of 351361163153 in words is "three hundred fifty-one billion, three hundred sixty-one million, one hundred sixty-three thousand, one hundred fifty-three".

Divisors: 1 7 11 13 23 77 91 143 161 169 253 299 1001 1183 1771 1859 2093 3289 3887 13013 23023 27209 42757 299299 1173947 8217629 12913417 15261311 27000781 90393919 106829177 167874421 189005467 198397043 297008591 351010153 1175120947 1388779301 2079060137 2182367473 2457071071 3861111683 4563131989 15276572311 27027781781 31941923923 50194451879 351361163153