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10338007405 = 511226782913
BaseRepresentation
bin10011010000011000…
…10111100101101101
3222200110210012010011
421220030113211231
5132133012214110
64425455213221
7514120420165
oct115014274555
928613705104
1010338007405
114425598a80
122006217211
13c89a34b5b
14700dcb5a5
154078c848a
hex26831796d

10338007405 has 16 divisors (see below), whose sum is σ = 13539524544. Its totient is φ = 7515143680.

The previous prime is 10338007399. The next prime is 10338007429. The reversal of 10338007405 is 50470083301.

10338007405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10338007405 - 211 = 10338005357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 83229 + ... + 166141.

It is an arithmetic number, because the mean of its divisors is an integer number (846220284).

Almost surely, 210338007405 is an apocalyptic number.

It is an amenable number.

10338007405 is a deficient number, since it is larger than the sum of its proper divisors (3201517139).

10338007405 is a wasteful number, since it uses less digits than its factorization.

10338007405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85196.

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 10338007405 in words is "ten billion, three hundred thirty-eight million, seven thousand, four hundred five".

Divisors: 1 5 11 55 2267 11335 24937 82913 124685 414565 912043 4560215 187963771 939818855 2067601481 10338007405