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45010592649 = 3411221432
BaseRepresentation
bin101001111010110101…
…110010001110001001
311022011212101000110000
4221322311302032021
51214140202431044
632402205113213
73152255503431
oct517265621611
9138155330400
1045010592649
11180a8340500
128881b58809
13432417c699
14226dc292c1
151286831d69
hexa7ad72389

45010592649 has 45 divisors (see below), whose sum is σ = 73940785149. Its totient is φ = 27266417640.

The previous prime is 45010592591. The next prime is 45010592699. The reversal of 45010592649 is 94629501054.

The square root of 45010592649 is 212157.

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

45010592649 is a `hidden beast` number, since 4 + 5 + 0 + 10 + 592 + 6 + 49 = 666.

It is not a de Polignac number, because 45010592649 - 235 = 10650854281 is a prime.

It is a super-2 number, since 2×450105926492 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45010592699) by changing a digit.

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, 21002472 + ... + 21004614.

Almost surely, 245010592649 is an apocalyptic number.

45010592649 is the 212157-th square number.

45010592649 is the 106079-th centered octagonal number.

It is an amenable number.

45010592649 is a deficient number, since it is larger than the sum of its proper divisors (28930192500).

45010592649 is an frugal number, since it uses more digits than its factorization.

45010592649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 45010592649 in words is "forty-five billion, ten million, five hundred ninety-two thousand, six hundred forty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 2143 3267 6429 9801 19287 23573 57861 70719 173583 212157 259303 636471 777909 1909413 2333727 4592449 7001181 13777347 21003543 41332041 50516939 123996123 151550817 371988369 454652451 555686329 1363957353 1667058987 4091872059 5001176961 15003530883 45010592649