Search a number
-
+
10978990380 = 22325314741863
BaseRepresentation
bin10100011100110011…
…00001100100101100
31001100010220111110100
422032121201210230
5134441110143010
65013233511100
7536032610211
oct121631414454
931303814410
1010978990380
114724398a76
122164a12490
13105c77c817
147621a1b08
15443cde2c0
hex28e66192c

10978990380 has 144 divisors (see below), whose sum is σ = 35109494784. Its totient is φ = 2772938880.

The previous prime is 10978990367. The next prime is 10978990459. The reversal of 10978990380 is 8309987901.

10978990380 is a `hidden beast` number, since 10 + 97 + 89 + 90 + 380 = 666.

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, 241329 + ... + 283191.

It is an arithmetic number, because the mean of its divisors is an integer number (243815936).

Almost surely, 210978990380 is an apocalyptic number.

10978990380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10978990380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554747392).

10978990380 is an abundant number, since it is smaller than the sum of its proper divisors (24130504404).

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

10978990380 is a wasteful number, since it uses less digits than its factorization.

10978990380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41956 (or 41951 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 10978990380 in words is "ten billion, nine hundred seventy-eight million, nine hundred ninety thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 465 470 558 564 620 705 846 930 940 1116 1395 1410 1457 1692 1860 2115 2790 2820 2914 4230 4371 5580 5828 7285 8460 8742 13113 14570 17484 21855 26226 29140 41863 43710 52452 65565 83726 87420 125589 131130 167452 209315 251178 262260 376767 418630 502356 627945 753534 837260 1255890 1297753 1507068 1883835 1967561 2511780 2595506 3767670 3893259 3935122 5191012 5902683 6488765 7535340 7786518 7870244 9837805 11679777 11805366 12977530 15573036 17708049 19466295 19675610 23359554 23610732 25955060 29513415 35416098 38932590 39351220 46719108 58398885 59026830 60994391 70832196 77865180 88540245 116797770 118053660 121988782 177080490 182983173 233595540 243977564 304971955 354160980 365966346 548949519 609943910 731932692 914915865 1097899038 1219887820 1829831730 2195798076 2744747595 3659663460 5489495190 10978990380