Search a number
-
+
8693353980 = 223251631811637
BaseRepresentation
bin10000001100010101…
…00000110111111100
3211102212002010202100
420012022200313330
5120300444311410
63554344425100
7425300201223
oct100612406774
924385063670
108693353980
113761198573
121827478190
13a8709644c
145c67d1cba
1535d3088c0
hex2062a0dfc

8693353980 has 144 divisors (see below), whose sum is σ = 26694499104. Its totient is φ = 2289876480.

The previous prime is 8693353961. The next prime is 8693354053. The reversal of 8693353980 is 893533968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5309722 + ... + 5311358.

It is an arithmetic number, because the mean of its divisors is an integer number (185378466).

Almost surely, 28693353980 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 8693353980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347249552).

8693353980 is an abundant number, since it is smaller than the sum of its proper divisors (18001145124).

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

8693353980 is a wasteful number, since it uses less digits than its factorization.

8693353980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 8693353980 is about 93238.1573176991. The cubic root of 8693353980 is about 2056.1862687478.

The spelling of 8693353980 in words is "eight billion, six hundred ninety-three million, three hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 181 326 362 489 543 652 724 815 905 978 1086 1467 1629 1630 1637 1810 1956 2172 2445 2715 2934 3258 3260 3274 3620 4890 4911 5430 5868 6516 6548 7335 8145 8185 9780 9822 10860 14670 14733 16290 16370 19644 24555 29340 29466 29503 32580 32740 49110 58932 59006 73665 88509 98220 118012 147330 147515 177018 265527 266831 294660 295030 296297 354036 442545 531054 533662 590060 592594 800493 885090 888891 1062108 1067324 1185188 1327635 1334155 1481485 1600986 1770180 1777782 2401479 2655270 2666673 2668310 2962970 3201972 3555564 4002465 4444455 4802958 5310540 5333346 5336620 5925940 8004930 8888910 9605916 10666692 12007395 13333365 16009860 17777820 24014790 26666730 48029580 48296411 53333460 96592822 144889233 193185644 241482055 289778466 434667699 482964110 579556932 724446165 869335398 965928220 1448892330 1738670796 2173338495 2897784660 4346676990 8693353980