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10968906780 = 223251337126691
BaseRepresentation
bin10100011011100110…
…00011110000011100
31001022102221012100200
422031303003300130
5134431020004110
65012233423500
7535551112026
oct121563036034
931272835320
1010968906780
114719731017
12216156ab90
13105a65bbb0
14760ad9016
15442e9b6c0
hex28dcc3c1c

10968906780 has 144 divisors (see below), whose sum is σ = 36800478624. Its totient is φ = 2627043840.

The previous prime is 10968906769. The next prime is 10968906791. The reversal of 10968906780 is 8760986901.

It is an interprime number because it is at equal distance from previous prime (10968906769) and next prime (10968906791).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 23235 + ... + 149925.

Almost surely, 210968906780 is an apocalyptic number.

10968906780 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 10968906780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400239312).

10968906780 is an abundant number, since it is smaller than the sum of its proper divisors (25831571844).

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

10968906780 is a wasteful number, since it uses less digits than its factorization.

10968906780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126756 (or 126751 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 10968906780 in words is "ten billion, nine hundred sixty-eight million, nine hundred six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 260 333 370 390 444 468 481 555 585 666 740 780 962 1110 1170 1332 1443 1665 1924 2220 2340 2405 2886 3330 4329 4810 5772 6660 7215 8658 9620 14430 17316 21645 28860 43290 86580 126691 253382 380073 506764 633455 760146 1140219 1266910 1520292 1646983 1900365 2280438 2533820 3293966 3800730 4560876 4687567 4940949 5701095 6587932 7601460 8234915 9375134 9881898 11402190 14062701 14822847 16469830 18750268 19763796 22804380 23437835 24704745 28125402 29645694 32939660 42188103 46875670 49409490 56250804 59291388 60938371 70313505 74114235 84376206 93751340 98818980 121876742 140627010 148228470 168752412 182815113 210940515 243753484 281254020 296456940 304691855 365630226 421881030 548445339 609383710 731260452 843762060 914075565 1096890678 1218767420 1828151130 2193781356 2742226695 3656302260 5484453390 10968906780