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2040918453 = 327238911897
BaseRepresentation
bin111100110100101…
…1111000110110101
312021020100101210100
41321221133012311
513134433342303
6534303544313
7101401343400
oct17151370665
95236311710
102040918453
11958055272
1248b5bb099
13266aa2c72
141550aad37
15be2968a3
hex79a5f1b5

2040918453 has 36 divisors (see below), whose sum is σ = 3438403020. Its totient is φ = 1163143296.

The previous prime is 2040918437. The next prime is 2040918479. The reversal of 2040918453 is 3548190402.

2040918453 is a `hidden beast` number, since 20 + 409 + 184 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1449553329 + 591365124 = 38073^2 + 24318^2 .

It is not a de Polignac number, because 2040918453 - 24 = 2040918437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040910453) 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 35 ways as a sum of consecutive naturals, for example, 165601 + ... + 177497.

It is an arithmetic number, because the mean of its divisors is an integer number (95511195).

Almost surely, 22040918453 is an apocalyptic number.

It is an amenable number.

2040918453 is a deficient number, since it is larger than the sum of its proper divisors (1397484567).

2040918453 is a wasteful number, since it uses less digits than its factorization.

2040918453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2040918453 is about 45176.5254640062. The cubic root of 2040918453 is about 1268.4554461677.

The spelling of 2040918453 in words is "two billion, forty million, nine hundred eighteen thousand, four hundred fifty-three".

Divisors: 1 3 7 9 21 49 63 147 389 441 1167 2723 3501 8169 11897 19061 24507 35691 57183 83279 107073 171549 249837 582953 749511 1748859 4627933 5246577 13883799 32395531 41651397 97186593 226768717 291559779 680306151 2040918453