Search a number
-
+
9988069248 = 273217335003
BaseRepresentation
bin10010100110101010…
…11101011110000000
3221210002022111012200
421103111131132000
5130423421203443
64331034553200
7502341121263
oct112325353600
927702274180
109988069248
114266006293
121b28b98800
13c323a0b61
146aa738cda
153d6d02dd3
hex25355d780

9988069248 has 96 divisors (see below), whose sum is σ = 28764042840. Its totient is φ = 3326770176.

The previous prime is 9988069237. The next prime is 9988069271. The reversal of 9988069248 is 8429608899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1993915 + ... + 1998917.

Almost surely, 29988069248 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 9988069248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382021420).

9988069248 is an abundant number, since it is smaller than the sum of its proper divisors (18775973592).

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

9988069248 is a wasteful number, since it uses less digits than its factorization.

9988069248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6741 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The square root of 9988069248 is about 99940.3284365226. The cubic root of 9988069248 is about 2153.5775481970.

The spelling of 9988069248 in words is "nine billion, nine hundred eighty-eight million, sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1733 3466 5003 5199 6932 10006 10398 13864 15009 15597 20012 20796 27728 30018 31194 40024 41592 45027 55456 60036 62388 80048 83184 90054 110912 120072 124776 160096 166368 180108 221824 240144 249552 320192 332736 360216 480288 499104 640384 665472 720432 960576 998208 1440864 1921152 1996416 2881728 5763456 8670199 17340398 26010597 34680796 52021194 69361592 78031791 104042388 138723184 156063582 208084776 277446368 312127164 416169552 554892736 624254328 832339104 1109785472 1248508656 1664678208 2497017312 3329356416 4994034624 9988069248