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11416092120 = 2332538638209
BaseRepresentation
bin10101010000111001…
…11011110111011000
31002110121101120022200
422220130323313120
5141340004421440
65124450250200
7552621116256
oct125034736730
932417346280
1011416092120
1149290a4a84
122267286960
1310cc1b16c4
147a42635d6
1546c380c30
hex2a873bdd8

11416092120 has 96 divisors (see below), whose sum is σ = 37116424800. Its totient is φ = 3043132416.

The previous prime is 11416092097. The next prime is 11416092131. The reversal of 11416092120 is 2129061411.

11416092120 is a `hidden beast` number, since 1 + 1 + 41 + 609 + 2 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1386576 + ... + 1394784.

It is an arithmetic number, because the mean of its divisors is an integer number (386629425).

Almost surely, 211416092120 is an apocalyptic number.

11416092120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11416092120 is an abundant number, since it is smaller than the sum of its proper divisors (25700332680).

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

11416092120 is a wasteful number, since it uses less digits than its factorization.

11416092120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12089 (or 12082 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11416092120 in words is "eleven billion, four hundred sixteen million, ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3863 7726 8209 11589 15452 16418 19315 23178 24627 30904 32836 34767 38630 41045 46356 49254 57945 65672 69534 73881 77260 82090 92712 98508 115890 123135 139068 147762 154520 164180 173835 197016 231780 246270 278136 295524 328360 347670 369405 463560 492540 591048 695340 738810 985080 1390680 1477620 2955240 31711367 63422734 95134101 126845468 158556835 190268202 253690936 285402303 317113670 380536404 475670505 570804606 634227340 761072808 951341010 1141609212 1268454680 1427011515 1902682020 2283218424 2854023030 3805364040 5708046060 11416092120