Search a number
-
+
145563366560 = 2557312462617
BaseRepresentation
bin1000011110010001000…
…0001011010010100000
3111220201120011011221112
42013210100023102200
54341103210212220
6150512040042452
713342124125613
oct2074420132240
9456646134845
10145563366560
11568077a8847
1224264a63428
131095a361081
14708c45c17a
153bbe35b5c5
hex21e440b4a0

145563366560 has 48 divisors (see below), whose sum is σ = 348604350696. Its totient is φ = 57427734528.

The previous prime is 145563366521. The next prime is 145563366569. The reversal of 145563366560 is 65663365541.

It can be written as a sum of positive squares in 4 ways, for example, as 118228696336 + 27334670224 = 343844^2 + 165332^2 .

It is a junction number, because it is equal to n+sod(n) for n = 145563366499 and 145563366508.

It is not an unprimeable number, because it can be changed into a prime (145563366569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6219629 + ... + 6242988.

Almost surely, 2145563366560 is an apocalyptic number.

145563366560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145563366560 is an abundant number, since it is smaller than the sum of its proper divisors (203040984136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145563366560 is a wasteful number, since it uses less digits than its factorization.

145563366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462705 (or 12462697 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 50.

The spelling of 145563366560 in words is "one hundred forty-five billion, five hundred sixty-three million, three hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 12462617 24925234 49850468 62313085 99700936 124626170 199401872 249252340 398803744 498504680 909771041 997009360 1819542082 1994018720 3639084164 4548855205 7278168328 9097710410 14556336656 18195420820 29112673312 36390841640 72781683280 145563366560