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289879111357 = 11449577101719
BaseRepresentation
bin1000011011111100010…
…01000011011010111101
31000201020011200121120121
410031332021003122331
514222133023030412
6341100231214541
726641321535353
oct4157611033275
91021204617517
10289879111357
11101a34223920
124821bb17451
1321449095bc4
141005cd117d3
157818dc2107
hex437e2436bd

289879111357 has 16 divisors (see below), whose sum is σ = 317488464000. Its totient is φ = 262481264640.

The previous prime is 289879111337. The next prime is 289879111381. The reversal of 289879111357 is 753111978982.

It is a cyclic number.

It is not a de Polignac number, because 289879111357 - 211 = 289879109309 is a prime.

It is a super-3 number, since 3×2898791113573 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 289879111295 and 289879111304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289879111337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2798944 + ... + 2900662.

It is an arithmetic number, because the mean of its divisors is an integer number (19843029000).

Almost surely, 2289879111357 is an apocalyptic number.

It is an amenable number.

289879111357 is a deficient number, since it is larger than the sum of its proper divisors (27609352643).

289879111357 is a wasteful number, since it uses less digits than its factorization.

289879111357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102756.

The product of its digits is 7620480, while the sum is 61.

The spelling of 289879111357 in words is "two hundred eighty-nine billion, eight hundred seventy-nine million, one hundred eleven thousand, three hundred fifty-seven".

Divisors: 1 11 449 577 4939 6347 101719 259073 1118909 2849803 45671831 58691863 502390141 645610493 26352646487 289879111357