Search a number
-
+
4063211779081 = 7213217213032
BaseRepresentation
bin111011001000001010010…
…010110111010000001001
3112101102212012210210022011
4323020022102313100021
51013032424203412311
612350340321455521
7566362114160200
oct73101222672011
915342765723264
104063211779081
111327220137904
125575894a15a1
1323620ba89a00
141009365a6237
1570a60686321
hex3b20a4b7409

4063211779081 has 81 divisors (see below), whose sum is σ = 5441098444821. Its totient is φ = 3023417988864.

The previous prime is 4063211779073. The next prime is 4063211779111. The reversal of 4063211779081 is 1809771123604.

The square root of 4063211779081 is 2015741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36687954681 + 4026523824400 = 191541^2 + 2006620^2 .

It is not a de Polignac number, because 4063211779081 - 23 = 4063211779073 is a prime.

It is a super-2 number, since 2×40632117790812 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (4063211779481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3118350676 + ... + 3118351978.

Almost surely, 24063211779081 is an apocalyptic number.

4063211779081 is the 2015741-st square number.

4063211779081 is the 1007871-st centered octagonal number.

It is an amenable number.

4063211779081 is a deficient number, since it is larger than the sum of its proper divisors (1377886665740).

4063211779081 is an equidigital number, since it uses as much as digits as its factorization.

4063211779081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

Multiplying 4063211779081 by its sum of digits (49), we get a square (199097377174969 = 141101872).

4063211779081 divided by its sum of digits (49) gives a square (82922689369 = 2879632).

The spelling of 4063211779081 in words is "four trillion, sixty-three billion, two hundred eleven million, seven hundred seventy-nine thousand, eighty-one".

Divisors: 1 7 13 17 49 91 119 169 221 289 637 833 1183 1303 1547 2023 2873 3757 8281 9121 10829 14161 16939 20111 22151 26299 48841 63847 118573 140777 155057 184093 220207 287963 341887 376567 830011 1085399 1541449 1697809 2015741 2393209 2635969 3743519 4895371 10790143 11884663 14110187 18451783 22071517 26204633 28862753 34267597 63639823 83192641 154500619 183432431 202039271 239873179 286929721 375215789 445478761 490666801 1081504333 1414274897 2008508047 2626510523 3118351327 3434667607 4877805257 6378668413 14059556329 18385573661 24042673249 34144636799 44650678891 82922689369 239012457593 312554752237 580458825583 4063211779081