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3840420170601 = 3272933192
BaseRepresentation
bin110111111000101010111…
…000010100101101101001
3111121010210111002102122100
4313320222320110231221
51000410140030424401
612100133100244013
7544314122561100
oct67705270245551
914533714072570
103840420170601
111250793080943
12520370b40609
1321b1c4913391
14d3c3d561037
1569d71367b86
hex37e2ae14b69

3840420170601 has 27 divisors (see below), whose sum is σ = 6453020049021. Its totient is φ = 2194502295384.

The previous prime is 3840420170591. The next prime is 3840420170627. The reversal of 3840420170601 is 1060710240483.

The square root of 3840420170601 is 1959699.

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

3840420170601 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 42 + 0 + 1 + 7 + 0 + 601 = 666.

It is not a de Polignac number, because 3840420170601 - 27 = 3840420170473 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3840420172601) 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 26 ways as a sum of consecutive naturals, for example, 41107020 + ... + 41200338.

Almost surely, 23840420170601 is an apocalyptic number.

3840420170601 is the 1959699-th square number.

3840420170601 is the 979850-th centered octagonal number.

It is an amenable number.

3840420170601 is a deficient number, since it is larger than the sum of its proper divisors (2612599878420).

3840420170601 is an frugal number, since it uses more digits than its factorization.

3840420170601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186658 (or 93329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 3840420170601 by its sum of digits (36), we get a square (138255126141636 = 117581942).

The spelling of 3840420170601 in words is "three trillion, eight hundred forty billion, four hundred twenty million, one hundred seventy thousand, six hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 93319 279957 653233 839871 1959699 4572631 5879097 13717893 41153679 8708435761 26125307283 60959050327 78375921849 182877150981 426713352289 548631452943 1280140056867 3840420170601