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13823728381 = 172928040017
BaseRepresentation
bin11001101111111010…
…10101101011111101
31022200101210011101001
430313331111223331
5211302333302011
610203414250301
7666364516051
oct146775255375
938611704331
1013823728381
115954152811
122819656991
1313c3c42048
14951d0dc61
1555d9147c1
hex337f55afd

13823728381 has 8 divisors (see below), whose sum is σ = 15141609720. Its totient is φ = 12561927168.

The previous prime is 13823728367. The next prime is 13823728409. The reversal of 13823728381 is 18382732831.

It can be written as a sum of positive squares in 4 ways, for example, as 5729127481 + 8094600900 = 75691^2 + 89970^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13823728381 - 27 = 13823728253 is a prime.

It is a super-2 number, since 2×138237283812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13823728181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14019516 + ... + 14020501.

It is an arithmetic number, because the mean of its divisors is an integer number (1892701215).

Almost surely, 213823728381 is an apocalyptic number.

It is an amenable number.

13823728381 is a deficient number, since it is larger than the sum of its proper divisors (1317881339).

13823728381 is a wasteful number, since it uses less digits than its factorization.

13823728381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28040063.

The product of its digits is 387072, while the sum is 46.

The spelling of 13823728381 in words is "thirteen billion, eight hundred twenty-three million, seven hundred twenty-eight thousand, three hundred eighty-one".

Divisors: 1 17 29 493 28040017 476680289 813160493 13823728381