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20148383025 = 325294632
BaseRepresentation
bin10010110000111011…
…111110110100110001
31221000011201220111100
4102300323332310301
5312230441224100
613131145435013
71312203300321
oct226073766461
957004656440
1020148383025
1185aa267421
123aa379ba69
131b9135b844
14d91cad281
157cdccb400
hex4b0efed31

20148383025 has 27 divisors (see below), whose sum is σ = 36091806699. Its totient is φ = 10744668720.

The previous prime is 20148383023. The next prime is 20148383039. The reversal of 20148383025 is 52038384102.

The square root of 20148383025 is 141945.

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

It can be written as a sum of positive squares in only one way, i.e., 7253417889 + 12894965136 = 85167^2 + 113556^2 .

It is not a de Polignac number, because 20148383025 - 21 = 20148383023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20148383023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2124444 + ... + 2133906.

Almost surely, 220148383025 is an apocalyptic number.

20148383025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20148383025 is the 141945-th square number.

20148383025 is the 70973-rd centered octagonal number.

It is an amenable number.

20148383025 is a deficient number, since it is larger than the sum of its proper divisors (15943423674).

20148383025 is an frugal number, since it uses more digits than its factorization.

20148383025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18942 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 20148383025 by its sum of digits (36), we get a square (725341788900 = 8516702).

The spelling of 20148383025 in words is "twenty billion, one hundred forty-eight million, three hundred eighty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 9463 28389 47315 85167 141945 236575 425835 709725 2129175 89548369 268645107 447741845 805935321 1343225535 2238709225 4029676605 6716127675 20148383025