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1313388051588 = 2232105997344189
BaseRepresentation
bin10011000111001100000…
…001110011110010000100
311122120002021022221101200
4103013030001303302010
5133004304320122323
62443210120022500
7163613660144634
oct23071401636204
94576067287350
101313388051588
11467006351538
12192663001a30
1396b0c9b6062
14477d56886c4
152426e47a443
hex131cc073c84

1313388051588 has 36 divisors (see below), whose sum is σ = 3319994097420. Its totient is φ = 437790614976.

The previous prime is 1313388051583. The next prime is 1313388051589. The reversal of 1313388051588 is 8851508833131.

1313388051588 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 8 + 8 + 0 + 51 + 588 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 719243078724 + 594144972864 = 848082^2 + 770808^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1313388051581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3643798 + ... + 3987986.

Almost surely, 21313388051588 is an apocalyptic number.

1313388051588 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1313388051588 is an abundant number, since it is smaller than the sum of its proper divisors (2006606045832).

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

1313388051588 is a wasteful number, since it uses less digits than its factorization.

1313388051588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450196 (or 450191 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 1313388051588 in words is "one trillion, three hundred thirteen billion, three hundred eighty-eight million, fifty-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 105997 211994 317991 344189 423988 635982 688378 953973 1032567 1271964 1376756 1907946 2065134 3097701 3815892 4130268 6195402 12390804 36483001433 72966002866 109449004299 145932005732 218898008598 328347012897 437796017196 656694025794 1313388051588