Search a number
-
+
988938839889 = 3271113617177913
BaseRepresentation
bin11100110010000010101…
…10010010011101010001
310111112121211220021100100
432121001112102131101
5112200321320334024
62034151235243013
7131306553304560
oct16310126223521
93445554807310
10988938839889
11351452214660
1213b7b5749469
13723447a91a0
1435c173b5bd7
151aad06457c9
hexe641592751

988938839889 has 96 divisors (see below), whose sum is σ = 1921061286144. Its totient is φ = 473445181440.

The previous prime is 988938839789. The next prime is 988938839909.

988938839889 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 988938839889 - 28 = 988938839633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 988938839799 and 988938839808.

It is not an unprimeable number, because it can be changed into a prime (988938839789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5469597 + ... + 5647509.

It is an arithmetic number, because the mean of its divisors is an integer number (20011055064).

Almost surely, 2988938839889 is an apocalyptic number.

988938839889 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

988938839889 is a deficient number, since it is larger than the sum of its proper divisors (932122446255).

988938839889 is a wasteful number, since it uses less digits than its factorization.

988938839889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178567 (or 178564 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 90.

The spelling of 988938839889 in words is "nine hundred eighty-eight billion, nine hundred thirty-eight million, eight hundred thirty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 617 693 819 1001 1287 1851 3003 4319 5553 6787 8021 9009 12957 20361 24063 38871 47509 56147 61083 72189 88231 142527 168441 177913 264693 427581 505323 533739 617617 794079 1245391 1601217 1852851 1957043 2312869 3736173 5558553 5871129 6938607 11208519 13699301 16190083 17613387 20815821 25441559 41097903 48570249 76324677 109772321 123293709 145710747 178090913 228974031 329316963 534272739 768406247 987950889 1207495531 1427040173 1602818217 2305218741 3622486593 4281120519 6915656223 8452468717 9989281211 10867459779 12843361557 15697441903 25357406151 29967843633 47092325709 76072218453 89903530899 109882093321 141276977127 329646279963 988938839889