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1038704253639 = 313119232233787
BaseRepresentation
bin11110001110101111001…
…10010001101011000111
310200022002002022020010120
433013113212101223013
5114004231242104024
62113101340553023
7135021026323443
oct17072746215307
93608062266116
101038704253639
1137056a521578
12149383b52773
1376c45a72280
14383b88bd823
151c0445ed479
hexf1d7991ac7

1038704253639 has 16 divisors (see below), whose sum is σ = 1491598534272. Its totient is φ = 639148720608.

The previous prime is 1038704253607. The next prime is 1038704253659. The reversal of 1038704253639 is 9363524078301.

It is not a de Polignac number, because 1038704253639 - 25 = 1038704253607 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1038704253591 and 1038704253600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1038704253659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651897 + ... + 1581890.

It is an arithmetic number, because the mean of its divisors is an integer number (93224908392).

It is a 1-persistent number, because it is pandigital, but 2⋅1038704253639 = 2077408507278 is not.

Almost surely, 21038704253639 is an apocalyptic number.

1038704253639 is a deficient number, since it is larger than the sum of its proper divisors (452894280633).

1038704253639 is a wasteful number, since it uses less digits than its factorization.

1038704253639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2245726.

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1038704253639 in words is "one trillion, thirty-eight billion, seven hundred four million, two hundred fifty-three thousand, six hundred thirty-nine".

Divisors: 1 3 13 39 11923 35769 154999 464997 2233787 6701361 29039231 87117693 26633442401 79900327203 346234751213 1038704253639