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987906267472 = 243122913996217
BaseRepresentation
bin11100110000000111100…
…11010101100101010000
310111102221212221011021111
432120003303111211100
5112141213001024342
62033500551503104
7131242144502425
oct16300363254520
93442855834244
10987906267472
11350a72373723
1213b567987a94
137220b8a61a7
1435b5a1c9d4c
151aa6eb7d217
hexe603cd5950

987906267472 has 80 divisors (see below), whose sum is σ = 1986178432000. Its totient is φ = 475515048960.

The previous prime is 987906267457. The next prime is 987906267479. The reversal of 987906267472 is 274762609789.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 987906267398 and 987906267407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987906267479) 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, 158900908 + ... + 158907124.

It is an arithmetic number, because the mean of its divisors is an integer number (24827230400).

Almost surely, 2987906267472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987906267472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993089216000).

987906267472 is an abundant number, since it is smaller than the sum of its proper divisors (998272164528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987906267472 is a wasteful number, since it uses less digits than its factorization.

987906267472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7884 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 67.

The spelling of 987906267472 in words is "nine hundred eighty-seven billion, nine hundred six million, two hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 31 62 124 229 248 458 496 916 1399 1832 2798 3664 5596 6217 7099 11192 12434 14198 22384 24868 28396 43369 49736 56792 86738 99472 113584 173476 192727 320371 346952 385454 640742 693904 770908 1281484 1423693 1541816 2562968 2847386 3083632 5125936 5694772 8697583 9931501 11389544 17395166 19863002 22779088 34790332 39726004 44134483 69580664 79452008 88268966 139161328 158904016 176537932 269625073 353075864 539250146 706151728 1078500292 1991746507 2157000584 3983493014 4314001168 7966986028 15933972056 31867944112 61744141717 123488283434 246976566868 493953133736 987906267472