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11125097892 = 223219831271543
BaseRepresentation
bin10100101110001101…
…11000010110100100
31001201022211112021200
422113012320112210
5140241011113032
65035533242500
7542455525506
oct122706702644
931638745250
1011125097892
114799911787
1221a5933430
131083b17a7c
14777755d76
15451a5047c
hex2971b85a4

11125097892 has 144 divisors (see below), whose sum is σ = 30213980160. Its totient is φ = 3441299904.

The previous prime is 11125097869. The next prime is 11125097897. The reversal of 11125097892 is 29879052111.

It is not an unprimeable number, because it can be changed into a prime (11125097897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7209273 + ... + 7210815.

Almost surely, 211125097892 is an apocalyptic number.

11125097892 is a gapful number since it is divisible by the number (12) 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 11125097892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15106990080).

11125097892 is an abundant number, since it is smaller than the sum of its proper divisors (19088882268).

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

11125097892 is a wasteful number, since it uses less digits than its factorization.

11125097892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 11125097892 in words is "eleven billion, one hundred twenty-five million, ninety-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 127 166 171 228 249 254 332 342 381 498 508 684 747 762 996 1143 1494 1524 1543 1577 2286 2413 2988 3086 3154 4572 4629 4731 4826 6172 6308 7239 9258 9462 9652 10541 13887 14193 14478 18516 18924 21082 21717 27774 28386 28956 29317 31623 42164 43434 55548 56772 58634 63246 86868 87951 94869 117268 126492 128069 175902 189738 195961 200279 256138 263853 351804 379476 384207 391922 400558 512276 527706 587883 600837 768414 783844 801116 1055412 1152621 1175766 1201674 1536828 1763649 1802511 2305242 2351532 2403348 2433311 3527298 3605022 3723259 4610484 4866622 7054596 7210044 7299933 7446518 9733244 11169777 14599866 14893036 16264763 21899799 22339554 29199732 32529526 33509331 43799598 44679108 48794289 65059052 67018662 87599196 97588578 134037324 146382867 195177156 292765734 309030497 585531468 618060994 927091491 1236121988 1854182982 2781274473 3708365964 5562548946 11125097892