Search a number
-
+
83344647990241 = 116196
BaseRepresentation
bin10010111100110100110000…
…001000110010101111100001
3101221002200002211010020021101
4102330310300020302233201
541411004314341141431
6453132000330354401
723361311034010621
oct2274646010625741
9357080084106241
1083344647990241
11246132a3000000
129420901b8ba01
13376749c4c3c51
141681c8c5ca881
15997ebb3e5961
hex4bcd30232be1

83344647990241 has 49 divisors (see below), whose sum is σ = 96772391758897. Its totient is φ = 71780079608820.

The previous prime is 83344647990221. The next prime is 83344647990323. The reversal of 83344647990241 is 14209974644338.

The square root of 83344647990241 is 9129329.

The cubic root of 83344647990241 is 43681.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-83344647990241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83344647990221) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 4386560420530 + ... + 4386560420548.

Almost surely, 283344647990241 is an apocalyptic number.

83344647990241 is the 9129329-th square number.

83344647990241 is the 4564665-th centered octagonal number.

It is an amenable number.

83344647990241 is a deficient number, since it is larger than the sum of its proper divisors (13427743768656).

83344647990241 is an frugal number, since it uses more digits than its factorization.

83344647990241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 64.

The spelling of 83344647990241 in words is "eighty-three trillion, three hundred forty-four billion, six hundred forty-seven million, nine hundred ninety thousand, two hundred forty-one".

Divisors: 1 11 19 121 209 361 1331 2299 3971 6859 14641 25289 43681 75449 130321 161051 278179 480491 829939 1433531 1771561 2476099 3059969 5285401 9129329 15768841 27237089 33659659 47045881 58139411 100422619 173457251 299607979 517504691 639533521 1104648809 1908029761 3295687769 5692551601 12151136899 20988327371 36252565459 62618067611 230871601081 398778220049 688798743721 4386560420539 7576786180931 83344647990241