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1029076984369 = 717131401164621
BaseRepresentation
bin11101111100110011100…
…01001010001000110001
310122101020010220021110001
432332121301022020301
5113330022201444434
62104430151110001
7134230326020140
oct16763161121061
93571203807401
101029076984369
1136747a147695
12147537972301
1376070369335
1437b44063757
151bb7e319114
hexef99c4a231

1029076984369 has 32 divisors (see below), whose sum is σ = 1257912260352. Its totient is φ = 821783040000.

The previous prime is 1029076984367. The next prime is 1029076984379. The reversal of 1029076984369 is 9634896709201.

1029076984369 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 not a de Polignac number, because 1029076984369 - 21 = 1029076984367 is a prime.

It is a super-2 number, since 2×10290769843692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1029076984369.

It is not an unprimeable number, because it can be changed into a prime (1029076984367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6168879 + ... + 6333499.

It is an arithmetic number, because the mean of its divisors is an integer number (39309758136).

Almost surely, 21029076984369 is an apocalyptic number.

It is an amenable number.

1029076984369 is a deficient number, since it is larger than the sum of its proper divisors (228835275983).

1029076984369 is a wasteful number, since it uses less digits than its factorization.

1029076984369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165177.

The product of its (nonzero) digits is 35271936, while the sum is 64.

The spelling of 1029076984369 in words is "one trillion, twenty-nine billion, seventy-six million, nine hundred eighty-four thousand, three hundred sixty-nine".

Divisors: 1 7 17 119 131 401 917 2227 2807 6817 15589 47719 52531 164621 367717 893027 1152347 2798557 6251189 19589899 21565351 66013021 150957457 366610967 462091147 1122221357 2566276769 7855549499 8647705751 60533940257 147010997767 1029076984369