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18807938323344 = 243417926732
BaseRepresentation
bin1000100011011000100000…
…11110111001001110010000
32110121000120120010000010000
410101230100132321032100
54431122124202321334
6104000125251210000
73650554146656442
oct421542036711620
973530516100100
1018807938323344
115aa1446952855
1221391305a6900
13a65772525ca1
14490448144492
15229387061299
hex111b107b9390

18807938323344 has 225 divisors, whose sum is σ = 54822899028513. Its totient is φ = 6225025250304.

The previous prime is 18807938323331. The next prime is 18807938323387. The reversal of 18807938323344 is 44332383970881.

The square root of 18807938323344 is 4336812.

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

18807938323344 is a `hidden beast` number, since 18 + 8 + 0 + 7 + 9 + 383 + 233 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6155063283600 + 12652875039744 = 2480940^2 + 3557088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 27946416192 + ... + 27946416864.

Almost surely, 218807938323344 is an apocalyptic number.

18807938323344 is the 4336812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18807938323344

18807938323344 is an abundant number, since it is smaller than the sum of its proper divisors (36014960705169).

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

18807938323344 is an frugal number, since it uses more digits than its factorization.

18807938323344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 18807938323344 in words is "eighteen trillion, eight hundred seven billion, nine hundred thirty-eight million, three hundred twenty-three thousand, three hundred forty-four".