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4371741538641 = 3429280112
BaseRepresentation
bin111111100111100000000…
…110011111100101010001
3120110221020011222111110000
4333213200012133211101
51033111311313214031
613144203401200213
7630563554644321
oct77474006374521
916427204874400
104371741538641
111436055144774
125a7333490069
1325933ab03209
141118444b3281
1578abbad63e6
hex3f9e019f951

4371741538641 has 45 divisors (see below), whose sum is σ = 6764429961003. Its totient is φ = 2813643287280.

The previous prime is 4371741538627. The next prime is 4371741538663. The reversal of 4371741538641 is 1468351471734.

The square root of 4371741538641 is 2090871.

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

4371741538641 is a `hidden beast` number, since 4 + 3 + 7 + 1 + 7 + 41 + 538 + 64 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2292435218241 + 2079306320400 = 1514079^2 + 1441980^2 .

It is not a de Polignac number, because 4371741538641 - 223 = 4371733150033 is a prime.

It is a super-2 number, since 2×43717415386412 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4371741538141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 545713326 + ... + 545721336.

Almost surely, 24371741538641 is an apocalyptic number.

4371741538641 is the 2090871-st square number.

4371741538641 is the 1045436-th centered octagonal number.

It is an amenable number.

4371741538641 is a deficient number, since it is larger than the sum of its proper divisors (2392688422362).

4371741538641 is an frugal number, since it uses more digits than its factorization.

4371741538641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16092 (or 8043 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 4371741538641 in words is "four trillion, three hundred seventy-one billion, seven hundred forty-one million, five hundred thirty-eight thousand, six hundred forty-one".

Divisors: 1 3 9 27 29 81 87 261 783 841 2349 2523 7569 8011 22707 24033 68121 72099 216297 232319 648891 696957 2090871 6272613 6737251 18817839 20211753 60635259 64176121 181905777 192528363 545717331 577585089 1732755267 1861107509 5198265801 5583322527 16749967581 50249902743 53972117761 150749708229 161916353283 485749059849 1457247179547 4371741538641