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9009190001 = 7175310114143
BaseRepresentation
bin10000110001111110…
…10101010001110001
3212020212101021022202
420120333111101301
5121422323040001
64045550112545
7436153565030
oct103077252161
925225337282
109009190001
1139034a8879
1218b51ab755
13b0764a276
14616728717
1537ade496b
hex218fd5471

9009190001 has 32 divisors (see below), whose sum is σ = 11218341888. Its totient is φ = 7059686400.

The previous prime is 9009189991. The next prime is 9009190019. The reversal of 9009190001 is 1000919009.

9009190001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9009190001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9009190031) 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 31 ways as a sum of consecutive naturals, for example, 629936 + ... + 644078.

It is an arithmetic number, because the mean of its divisors is an integer number (350573184).

Almost surely, 29009190001 is an apocalyptic number.

It is an amenable number.

9009190001 is a deficient number, since it is larger than the sum of its proper divisors (2209151887).

9009190001 is a wasteful number, since it uses less digits than its factorization.

9009190001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14321.

The product of its (nonzero) digits is 729, while the sum is 29.

The square root of 9009190001 is about 94916.7530049359. The cubic root of 9009190001 is about 2080.7915811849.

The spelling of 9009190001 in words is "nine billion, nine million, one hundred ninety thousand, one".

Divisors: 1 7 17 53 101 119 371 707 901 1717 5353 6307 12019 14143 37471 91001 99001 240431 637007 749579 1428443 1683017 5247053 9999101 12742843 24283531 75707479 89199901 169984717 529952353 1287027143 9009190001