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987984489789 = 321115316518381
BaseRepresentation
bin11100110000010000111…
…01101110110100111101
310111110011100010021010100
432120020131232310331
5112141343012133124
62033512424231313
7131244114413013
oct16301035566475
93443140107110
10987984489789
11351002540270
1213b58a00b539
1372221b6339b
1435b6674c8b3
151aa769801c9
hexe60876ed3d

987984489789 has 24 divisors (see below), whose sum is σ = 1557841150944. Its totient is φ = 598387284000.

The previous prime is 987984489761. The next prime is 987984489797.

987984489789 is a `hidden beast` number, since 9 + 8 + 7 + 98 + 448 + 9 + 78 + 9 = 666.

987984489789 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 987984489789 - 216 = 987984424253 is a prime.

It is a super-2 number, since 2×9879844897892 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 987984489699 and 987984489708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987984489719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3107622 + ... + 3410759.

It is an arithmetic number, because the mean of its divisors is an integer number (64910047956).

Almost surely, 2987984489789 is an apocalyptic number.

987984489789 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

987984489789 is a deficient number, since it is larger than the sum of its proper divisors (569856661155).

987984489789 is a wasteful number, since it uses less digits than its factorization.

987984489789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6519929 (or 6519926 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 90.

The spelling of 987984489789 in words is "nine hundred eighty-seven billion, nine hundred eighty-four million, four hundred eighty-nine thousand, seven hundred eighty-nine".

Divisors: 1 3 9 11 33 99 1531 4593 13779 16841 50523 151569 6518381 19555143 58665429 71702191 215106573 645319719 9979641311 29938923933 89816771799 109776054421 329328163263 987984489789