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19372205448 = 23324723492
BaseRepresentation
bin10010000010101011…
…000110010110001000
31212000002020000000200
4102002223012112020
5304133241033243
612522141332200
71254030013041
oct220253062610
955002200020
1019372205448
118241117752
123907867060
131a995c9b7b
14d1ab858c8
15785aacad3
hex482ac6588

19372205448 has 108 divisors (see below), whose sum is σ = 53760487365. Its totient is φ = 6301901376.

The previous prime is 19372205429. The next prime is 19372205453. The reversal of 19372205448 is 84450227391.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19372205448 is a `hidden beast` number, since 19 + 3 + 72 + 20 + 544 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18246066084 + 1126139364 = 135078^2 + 33558^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=98418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55507578 + ... + 55507926.

Almost surely, 219372205448 is an apocalyptic number.

19372205448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19372205448

19372205448 is an abundant number, since it is smaller than the sum of its proper divisors (34388281917).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19372205448 is an equidigital number, since it uses as much as digits as its factorization.

19372205448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 19372205448 in words is "nineteen billion, three hundred seventy-two million, two hundred five thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 349 376 423 564 698 846 1047 1128 1396 1692 2094 2209 2792 3141 3384 4188 4418 6282 6627 8376 8836 12564 13254 16403 17672 19881 25128 26508 32806 39762 49209 53016 65612 79524 98418 121801 131224 147627 159048 196836 243602 295254 365403 393672 487204 590508 730806 770941 974408 1096209 1181016 1461612 1541882 2192418 2312823 2923224 3083764 4384836 4625646 5724647 6167528 6938469 8769672 9251292 11449294 13876938 17173941 18502584 22898588 27753876 34347882 45797176 51521823 55507752 68695764 103043646 137391528 206087292 269058409 412174584 538116818 807175227 1076233636 1614350454 2152467272 2421525681 3228700908 4843051362 6457401816 9686102724 19372205448