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1038042589705 = 51133347565973
BaseRepresentation
bin11110001101100000010…
…10001110101000001001
310200020100222021012211221
433012300022032220021
5114001402400332310
62112511543122041
7134665443300202
oct17066012165011
93606328235757
101038042589705
1137025aa86680
1214921a443321
1376b6b966254
1438354a845a9
151c00649eada
hexf1b028ea09

1038042589705 has 16 divisors (see below), whose sum is σ = 1358935268544. Its totient is φ = 754916092480.

The previous prime is 1038042589627. The next prime is 1038042589723. The reversal of 1038042589705 is 5079852408301.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1038042589705 is a prime.

It is a Duffinian 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, 1551099 + ... + 2117071.

It is an arithmetic number, because the mean of its divisors is an integer number (84933454284).

Almost surely, 21038042589705 is an apocalyptic number.

It is an amenable number.

1038042589705 is a deficient number, since it is larger than the sum of its proper divisors (320892678839).

1038042589705 is a wasteful number, since it uses less digits than its factorization.

1038042589705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599336.

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 1038042589705 in words is "one trillion, thirty-eight billion, forty-two million, five hundred eighty-nine thousand, seven hundred five".

Divisors: 1 5 11 55 33347 166735 366817 565973 1834085 2829865 6225703 31128515 18873501631 94367508155 207608517941 1038042589705