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3628123641 = 322789144541
BaseRepresentation
bin1101100001000000…
…1100010111111001
3100100211221202222200
43120100030113321
524412244424031
61400003140413
7155623353642
oct33020142771
910324852880
103628123641
1115a1a87a9a
12853074709
1345a87902c
14265bd06c9
151637b98e6
hexd840c5f9

3628123641 has 12 divisors (see below), whose sum is σ = 5242538340. Its totient is φ = 2417865120.

The previous prime is 3628123637. The next prime is 3628123673. The reversal of 3628123641 is 1463218263.

3628123641 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 1 + 2 + 3 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3060302400 + 567821241 = 55320^2 + 23829^2 .

It is not a de Polignac number, because 3628123641 - 22 = 3628123637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3628123596 and 3628123605.

It is not an unprimeable number, because it can be changed into a prime (3628123621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47170 + ... + 97371.

It is an arithmetic number, because the mean of its divisors is an integer number (436878195).

Almost surely, 23628123641 is an apocalyptic number.

It is an amenable number.

3628123641 is a deficient number, since it is larger than the sum of its proper divisors (1614414699).

3628123641 is a wasteful number, since it uses less digits than its factorization.

3628123641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147336 (or 147333 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3628123641 is about 60233.9077347635. The cubic root of 3628123641 is about 1536.5995190321.

The spelling of 3628123641 in words is "three billion, six hundred twenty-eight million, one hundred twenty-three thousand, six hundred forty-one".

Divisors: 1 3 9 2789 8367 25101 144541 433623 1300869 403124849 1209374547 3628123641