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11788804140 = 2235474639029
BaseRepresentation
bin10101111101010101…
…01110000000101100
31010102120201022002120
422332222232000230
5143120413213030
65225442552540
7565065116241
oct127652560054
933376638076
1011788804140
114aaa522043
122350068750
13115b48a569
147db9635c8
1548ee54010
hex2beaae02c

11788804140 has 96 divisors (see below), whose sum is σ = 33787514880. Its totient is φ = 3069808896.

The previous prime is 11788804117. The next prime is 11788804147. The reversal of 11788804140 is 4140888711.

11788804140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×117888041402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11788804092 and 11788804101.

It is not an unprimeable number, because it can be changed into a prime (11788804147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301146 + ... + 1310174.

It is an arithmetic number, because the mean of its divisors is an integer number (351953280).

Almost surely, 211788804140 is an apocalyptic number.

11788804140 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 11788804140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16893757440).

11788804140 is an abundant number, since it is smaller than the sum of its proper divisors (21998710740).

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

11788804140 is a wasteful number, since it uses less digits than its factorization.

11788804140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9551 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The spelling of 11788804140 in words is "eleven billion, seven hundred eighty-eight million, eight hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 463 470 564 705 926 940 1389 1410 1852 2315 2778 2820 4630 5556 6945 9029 9260 13890 18058 21761 27087 27780 36116 43522 45145 54174 65283 87044 90290 108348 108805 130566 135435 180580 217610 261132 270870 326415 424363 435220 541740 652830 848726 1273089 1305660 1697452 2121815 2546178 4180427 4243630 5092356 6365445 8360854 8487260 12541281 12730890 16721708 20902135 25082562 25461780 41804270 50165124 62706405 83608540 125412810 196480069 250825620 392960138 589440207 785920276 982400345 1178880414 1964800690 2357760828 2947201035 3929601380 5894402070 11788804140