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1009036413 = 33711485347
BaseRepresentation
bin111100001001001…
…010110001111101
32121022200100202000
4330021022301331
54031303131123
6244043052513
734001445060
oct7411126175
92538610660
101009036413
11478635aa0
12241b11139
13131082288
14980208d7
155d8b8b43
hex3c24ac7d

1009036413 has 32 divisors (see below), whose sum is σ = 1863736320. Its totient is φ = 524173680.

The previous prime is 1009036403. The next prime is 1009036423. The reversal of 1009036413 is 3146309001.

1009036413 is a `hidden beast` number, since 10 + 0 + 9 + 0 + 3 + 641 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (1009036403) and next prime (1009036423).

It is not a de Polignac number, because 1009036413 - 24 = 1009036397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009036403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240595 + ... + 244752.

It is an arithmetic number, because the mean of its divisors is an integer number (58241760).

Almost surely, 21009036413 is an apocalyptic number.

It is an amenable number.

1009036413 is a deficient number, since it is larger than the sum of its proper divisors (854699907).

1009036413 is a wasteful number, since it uses less digits than its factorization.

1009036413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485374 (or 485368 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1009036413 is about 31765.3335099759. Note that the first 3 decimals coincide. The cubic root of 1009036413 is about 1003.0031099692.

The spelling of 1009036413 in words is "one billion, nine million, thirty-six thousand, four hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 485347 1456041 3397429 4368123 5338817 10192287 13104369 16016451 30576861 37371719 48049353 91730583 112115157 144148059 336345471 1009036413