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11133992808 = 2333475320693
BaseRepresentation
bin10100101111010001…
…10011111101101000
31001201221120102211000
422113220303331220
5140300300232213
65040452035000
7542624243301
oct122750637550
931657512730
1011133992808
1147a3937654
1221a8902a60
131085910633
147789cd7a8
1545270ac73
hex297a33f68

11133992808 has 128 divisors (see below), whose sum is σ = 32183308800. Its totient is φ = 3563659008.

The previous prime is 11133992803. The next prime is 11133992839. The reversal of 11133992808 is 80829933111.

It is not an unprimeable number, because it can be changed into a prime (11133992803) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 527710 + ... + 548402.

It is an arithmetic number, because the mean of its divisors is an integer number (251432100).

Almost surely, 211133992808 is an apocalyptic number.

11133992808 is a gapful number since it is divisible by the number (18) 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 11133992808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091654400).

11133992808 is an abundant number, since it is smaller than the sum of its proper divisors (21049315992).

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

11133992808 is a wasteful number, since it uses less digits than its factorization.

11133992808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20808 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11133992808 in words is "eleven billion, one hundred thirty-three million, nine hundred ninety-two thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 53 54 72 94 106 108 141 159 188 212 216 282 318 376 423 424 477 564 636 846 954 1128 1269 1272 1431 1692 1908 2491 2538 2862 3384 3816 4982 5076 5724 7473 9964 10152 11448 14946 19928 20693 22419 29892 41386 44838 59784 62079 67257 82772 89676 124158 134514 165544 179352 186237 248316 269028 372474 496632 538056 558711 744948 972571 1096729 1117422 1489896 1945142 2193458 2234844 2917713 3290187 3890284 4386916 4469688 5835426 6580374 7780568 8753139 8773832 9870561 11670852 13160748 17506278 19741122 23341704 26259417 26321496 29611683 35012556 39482244 51546263 52518834 59223366 70025112 78964488 103092526 105037668 118446732 154638789 206185052 210075336 236893464 309277578 412370104 463916367 618555156 927832734 1237110312 1391749101 1855665468 2783498202 3711330936 5566996404 11133992808