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1036106159449 = 892114372
BaseRepresentation
bin11110001001111001011…
…11010101010101011001
310200001101000112100220211
433010330233111111121
5113433421134100244
62111551450451121
7134566451021014
oct17047457252531
93601330470824
101036106159449
1136a456a08999
12148979a33aa1
137692071892a
143820d81637b
151be41497934
hexf13cbd5559

1036106159449 has 9 divisors (see below), whose sum is σ = 1047970236477. Its totient is φ = 1024374942624.

The previous prime is 1036106159437. The next prime is 1036106159471. The reversal of 1036106159449 is 9449516016301.

The square root of 1036106159449 is 1017893.

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

It can be written as a sum of positive squares in 4 ways, for example, as 274445015625 + 761661143824 = 523875^2 + 872732^2 .

It is not a de Polignac number, because 1036106159449 - 27 = 1036106159321 is a prime.

It is a super-3 number, since 3×10361061594493 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1036106159149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 90586759 + ... + 90598195.

Almost surely, 21036106159449 is an apocalyptic number.

1036106159449 is the 1017893-rd square number.

1036106159449 is the 508947-th centered octagonal number.

It is an amenable number.

1036106159449 is a deficient number, since it is larger than the sum of its proper divisors (11864077028).

1036106159449 is an frugal number, since it uses more digits than its factorization.

1036106159449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23052 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

Multiplying 1036106159449 by its sum of digits (49), we get a square (50769201813001 = 71252512).

The spelling of 1036106159449 in words is "one trillion, thirty-six billion, one hundred six million, one hundred fifty-nine thousand, four hundred forty-nine".

Divisors: 1 89 7921 11437 1017893 90592477 130804969 11641642241 1036106159449