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9689916480 = 263543323311
BaseRepresentation
bin10010000011001000…
…00110010001000000
3221000022021202111120
421001210012101000
5124321104311410
64241304312240
7462060634236
oct110144062100
927008252446
109689916480
114122783742
121a65172680
13bb569baba
1467ccc6956
153baa5b570
hex241906440

9689916480 has 112 divisors (see below), whose sum is σ = 30837859584. Its totient is φ = 2577899520.

The previous prime is 9689916443. The next prime is 9689916493. The reversal of 9689916480 is 846199869.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404025 + ... + 427335.

It is an arithmetic number, because the mean of its divisors is an integer number (275338032).

Almost surely, 29689916480 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 9689916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418929792).

9689916480 is an abundant number, since it is smaller than the sum of its proper divisors (21147943104).

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

9689916480 is a wasteful number, since it uses less digits than its factorization.

9689916480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23764 (or 23754 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The square root of 9689916480 is about 98437.3733903948. The cubic root of 9689916480 is about 2131.9319815863.

The spelling of 9689916480 in words is "nine billion, six hundred eighty-nine million, nine hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 433 480 866 960 1299 1732 2165 2598 3464 4330 5196 6495 6928 8660 10392 12990 13856 17320 20784 23311 25980 27712 34640 41568 46622 51960 69280 69933 83136 93244 103920 116555 138560 139866 186488 207840 233110 279732 349665 372976 415680 466220 559464 699330 745952 932440 1118928 1398660 1491904 1864880 2237856 2797320 3729760 4475712 5594640 7459520 10093663 11189280 20187326 22378560 30280989 40374652 50468315 60561978 80749304 100936630 121123956 151404945 161498608 201873260 242247912 302809890 322997216 403746520 484495824 605619780 645994432 807493040 968991648 1211239560 1614986080 1937983296 2422479120 3229972160 4844958240 9689916480