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900067993 = 11236158321
BaseRepresentation
bin110101101001011…
…111001010011001
32022201122012011121
4311221133022121
53320404133433
6225151325241
731206310636
oct6551371231
92281565147
10900067993
11422079450
12211520821
1311461b616
148777718d
1554041c2d
hex35a5f299

900067993 has 16 divisors (see below), whose sum is σ = 1041397632. Its totient is φ = 769824000.

The previous prime is 900067991. The next prime is 900067999. The reversal of 900067993 is 399760009.

It is not a de Polignac number, because 900067993 - 21 = 900067991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (900067991) 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 15 ways as a sum of consecutive naturals, for example, 13728 + ... + 44593.

It is an arithmetic number, because the mean of its divisors is an integer number (65087352).

Almost surely, 2900067993 is an apocalyptic number.

It is an amenable number.

900067993 is a deficient number, since it is larger than the sum of its proper divisors (141329639).

900067993 is a wasteful number, since it uses less digits than its factorization.

900067993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58416.

The product of its (nonzero) digits is 91854, while the sum is 43.

The square root of 900067993 is about 30001.1331952645. The cubic root of 900067993 is about 965.5136975192.

The spelling of 900067993 in words is "nine hundred million, sixty-seven thousand, nine hundred ninety-three".

Divisors: 1 11 23 61 253 671 1403 15433 58321 641531 1341383 3557581 14755213 39133391 81824363 900067993