Search a number
-
+
146165245261 = 72127131193929
BaseRepresentation
bin1000100000100000100…
…0001010010101001101
3111222021111200210022021
42020020020022111031
54343321300322021
6151051500250141
713363053041200
oct2101010122515
9458244623267
10146165245261
1156a9651a162
12243b2540951
1310a24c66b09
147108373937
153c070eac41
hex220820a54d

146165245261 has 48 divisors (see below), whose sum is σ = 173757450240. Its totient is φ = 122577960960.

The previous prime is 146165245229. The next prime is 146165245271. The reversal of 146165245261 is 162542561641.

It is not a de Polignac number, because 146165245261 - 25 = 146165245229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146165245271) 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, 157335645 + ... + 157336573.

It is an arithmetic number, because the mean of its divisors is an integer number (3619946880).

Almost surely, 2146165245261 is an apocalyptic number.

It is an amenable number.

146165245261 is a deficient number, since it is larger than the sum of its proper divisors (27592204979).

146165245261 is a wasteful number, since it uses less digits than its factorization.

146165245261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1387 counting only the distinct ones).

The product of its digits is 345600, while the sum is 43.

The spelling of 146165245261 in words is "one hundred forty-six billion, one hundred sixty-five million, two hundred forty-five thousand, two hundred sixty-one".

Divisors: 1 7 49 127 131 193 889 917 929 1351 6223 6419 6503 9457 16637 24511 25283 45521 116459 117983 121699 171577 176981 179297 815213 825881 851893 1201039 1238867 1255079 3210941 5781167 5963251 8785553 15455773 22476587 22770719 23487907 108190411 157336109 159395033 164415349 757332877 1115765231 1150907443 2982964189 20880749323 146165245261