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3980195325 = 325253333769
BaseRepresentation
bin1110110100111100…
…1111010111111101
3101021101102212112200
43231033033113331
531122412222300
61454541222113
7200430050001
oct35517172775
911241385480
103980195325
111762797727
12930b61939
134b57a9182
1429a87a701
15184662200
hexed3cf5fd

3980195325 has 36 divisors (see below), whose sum is σ = 7263502740. Its totient is φ = 2082712320.

The previous prime is 3980195311. The next prime is 3980195347. The reversal of 3980195325 is 5235910893.

3980195325 is a `hidden beast` number, since 39 + 80 + 1 + 9 + 532 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 637158564 + 3343036761 = 25242^2 + 57819^2 .

It is not a de Polignac number, because 3980195325 - 216 = 3980129789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 154960 + ... + 178809.

It is an arithmetic number, because the mean of its divisors is an integer number (201763965).

Almost surely, 23980195325 is an apocalyptic number.

It is an amenable number.

3980195325 is a deficient number, since it is larger than the sum of its proper divisors (3283307415).

3980195325 is a wasteful number, since it uses less digits than its factorization.

3980195325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333838 (or 333830 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 3980195325 is about 63088.7892180536. The cubic root of 3980195325 is about 1584.7768861346.

The spelling of 3980195325 in words is "three billion, nine hundred eighty million, one hundred ninety-five thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 159 225 265 477 795 1325 2385 3975 11925 333769 1001307 1668845 3003921 5006535 8344225 15019605 17689757 25032675 53069271 75098025 88448785 159207813 265346355 442243925 796039065 1326731775 3980195325