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38244737405 = 572269580301
BaseRepresentation
bin100011100111100100…
…000110000101111101
310122201100012221212202
4203213210012011331
51111311123044110
625322553241245
72522511622100
oct434744060575
9118640187782
1038244737405
11152461802a6
1274b4103225
1337b6527444
141bcb41c737
15edc8690a5
hex8e790617d

38244737405 has 24 divisors (see below), whose sum is σ = 53585086680. Its totient is φ = 26127427200.

The previous prime is 38244737353. The next prime is 38244737413. The reversal of 38244737405 is 50473744283.

38244737405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42471289 + 38202266116 = 6517^2 + 195454^2 .

It is not a de Polignac number, because 38244737405 - 28 = 38244737149 is a prime.

It is a super-2 number, since 2×382447374052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38244737405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224246 + ... + 356055.

It is an arithmetic number, because the mean of its divisors is an integer number (2232711945).

Almost surely, 238244737405 is an apocalyptic number.

38244737405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38244737405 is a deficient number, since it is larger than the sum of its proper divisors (15340349275).

38244737405 is a wasteful number, since it uses less digits than its factorization.

38244737405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580589 (or 580582 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 47.

The spelling of 38244737405 in words is "thirty-eight billion, two hundred forty-four million, seven hundred thirty-seven thousand, four hundred five".

Divisors: 1 5 7 35 49 245 269 1345 1883 9415 13181 65905 580301 2901505 4062107 20310535 28434749 142173745 156100969 780504845 1092706783 5463533915 7648947481 38244737405