Search a number
-
+
146600563361 = 73143107146833
BaseRepresentation
bin1000100010001000010…
…0110001001010100001
3112000101211211020110212
42020202010301022201
54400214221011421
6151203010503505
713406620141160
oct2104204611241
9460354736425
10146600563361
115719a21808a
12244b4294b95
1310a941c2ba5
14714a0cd3d7
153c30438e5b
hex22221312a1

146600563361 has 32 divisors (see below), whose sum is σ = 178625323008. Its totient is φ = 117665291520.

The previous prime is 146600563313. The next prime is 146600563409. The reversal of 146600563361 is 163365006641.

It is an interprime number because it is at equal distance from previous prime (146600563313) and next prime (146600563409).

It is not a de Polignac number, because 146600563361 - 26 = 146600563297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146600563561) 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, 925001 + ... + 1071833.

It is an arithmetic number, because the mean of its divisors is an integer number (5582041344).

Almost surely, 2146600563361 is an apocalyptic number.

It is an amenable number.

146600563361 is a deficient number, since it is larger than the sum of its proper divisors (32024759647).

146600563361 is a wasteful number, since it uses less digits than its factorization.

146600563361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147021.

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 146600563361 in words is "one hundred forty-six billion, six hundred million, five hundred sixty-three thousand, three hundred sixty-one".

Divisors: 1 7 31 43 107 217 301 749 1333 3317 4601 9331 23219 32207 142631 146833 998417 1027831 4551823 6313819 15711131 31862761 44196733 109977917 195728389 487045061 675578633 1370098723 3409315427 4729050431 20942937623 146600563361