Search a number
-
+
1220412673736 = 23172737230961
BaseRepresentation
bin10001110000100110010…
…000111000111011001000
311022200002122202101011122
4101300212100320323020
5124443401121024421
62332352211014412
7154112651365244
oct21604620707310
94280078671148
101220412673736
11430635157a93
1217863589a408
138b113620789
14430d5553424
1521b2bcc02ab
hex11c26438ec8

1220412673736 has 48 divisors (see below), whose sum is σ = 2464094920740. Its totient is φ = 566444482560.

The previous prime is 1220412673703. The next prime is 1220412673759. The reversal of 1220412673736 is 6373762140221.

It can be written as a sum of positive squares in 6 ways, for example, as 957442680100 + 262969993636 = 978490^2 + 512806^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3446705 + ... + 3784256.

Almost surely, 21220412673736 is an apocalyptic number.

It is an amenable number.

1220412673736 is an abundant number, since it is smaller than the sum of its proper divisors (1243682247004).

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

1220412673736 is a wasteful number, since it uses less digits than its factorization.

1220412673736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231074 (or 7231053 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 44.

The spelling of 1220412673736 in words is "one trillion, two hundred twenty billion, four hundred twelve million, six hundred seventy-three thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 17 34 68 73 136 146 289 292 578 584 1156 1241 2312 2482 4964 9928 21097 42194 84388 168776 7230961 14461922 28923844 57847688 122926337 245852674 491705348 527860153 983410696 1055720306 2089747729 2111440612 4179495458 4222881224 8358990916 8973622601 16717981832 17947245202 35894490404 71788980808 152551584217 305103168434 610206336868 1220412673736