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1381973985 = 325727116189
BaseRepresentation
bin101001001011111…
…0011111111100001
310120022102112220200
41102113303333201
510312241131420
6345044255413
746150404450
oct12227637741
93508375820
101381973985
1164a0a7567
123269a1569
131904099b2
14d177cb97
15814d3b90
hex525f3fe1

1381973985 has 48 divisors (see below), whose sum is σ = 2747896320. Its totient is φ = 629389440.

The previous prime is 1381973963. The next prime is 1381974019. The reversal of 1381973985 is 5893791831.

It is not a de Polignac number, because 1381973985 - 28 = 1381973729 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 77271 + ... + 93459.

It is an arithmetic number, because the mean of its divisors is an integer number (57247840).

Almost surely, 21381973985 is an apocalyptic number.

1381973985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1381973985 is a deficient number, since it is larger than the sum of its proper divisors (1365922335).

1381973985 is a wasteful number, since it uses less digits than its factorization.

1381973985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16478 (or 16475 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 1381973985 is about 37174.9106925625. The cubic root of 1381973985 is about 1113.8668762230.

The spelling of 1381973985 in words is "one billion, three hundred eighty-one million, nine hundred seventy-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 271 315 813 1355 1897 2439 4065 5691 9485 12195 16189 17073 28455 48567 80945 85365 113323 145701 242835 339969 566615 728505 1019907 1699845 4387219 5099535 13161657 21936095 30710533 39484971 65808285 92131599 153552665 197424855 276394797 460657995 1381973985