Search a number
-
+
4227127001461 = 73133167456427
BaseRepresentation
bin111101100000110100011…
…001110100000101110101
3112222002221202012211201101
4331200310121310011311
51023224124003021321
612553525413530101
7614254101445000
oct75406431640565
915862852184641
104227127001461
11138a794a9a541
125832b4343931
13248802204160
14108846082537
1574e55bee791
hex3d834674175

4227127001461 has 64 divisors (see below), whose sum is σ = 5561849036800. Its totient is φ = 3188336437440.

The previous prime is 4227127001407. The next prime is 4227127001501. The reversal of 4227127001461 is 1641007217224.

4227127001461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4227127001461 - 27 = 4227127001333 is a prime.

It is a super-2 number, since 2×42271270014612 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4227127001461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4227127001161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9033130 + ... + 9489556.

It is an arithmetic number, because the mean of its divisors is an integer number (86903891200).

Almost surely, 24227127001461 is an apocalyptic number.

It is an amenable number.

4227127001461 is a deficient number, since it is larger than the sum of its proper divisors (1334722035339).

4227127001461 is a wasteful number, since it uses less digits than its factorization.

4227127001461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456559 (or 456545 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 4227127001461 in words is "four trillion, two hundred twenty-seven billion, one hundred twenty-seven million, one thousand, four hundred sixty-one".

Divisors: 1 7 13 31 49 67 91 217 343 403 469 637 871 1519 2077 2821 3283 4459 6097 10633 14539 19747 22981 27001 42679 101773 138229 189007 298753 456427 712411 1323049 3194989 5933551 9261343 14149237 22364923 30580609 41534857 99044659 156554461 183940081 214064263 290743999 397547917 693312613 947998879 1287580567 1498449841 2035207993 2782835419 4853188291 6635992153 9013063969 10489148887 12323985427 19479847933 46451945071 63091447783 86267897989 136358935531 325163615497 603875285923 4227127001461