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11127138876 = 22327294013797
BaseRepresentation
bin10100101110011101…
…01010101000111100
31001201110200012222200
422113032222220330
5140242021421001
65040045111500
7542512056060
oct122716525074
931643605880
1011127138876
11479aa86147
1221a6558590
131084380a59
14777b27aa0
15451d05086
hex2973aaa3c

11127138876 has 144 divisors (see below), whose sum is σ = 33345224640. Its totient is φ = 3061094400.

The previous prime is 11127138859. The next prime is 11127138917. The reversal of 11127138876 is 67883172111.

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, 2928610 + ... + 2932406.

It is an arithmetic number, because the mean of its divisors is an integer number (231564060).

Almost surely, 211127138876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11127138876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672612320).

11127138876 is an abundant number, since it is smaller than the sum of its proper divisors (22218085764).

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

11127138876 is a wasteful number, since it uses less digits than its factorization.

11127138876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4239 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The spelling of 11127138876 in words is "eleven billion, one hundred twenty-seven million, one hundred thirty-eight thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 401 406 522 609 802 812 1044 1203 1218 1604 1827 2406 2436 2807 3609 3654 3797 4812 5614 7218 7308 7594 8421 11228 11391 11629 14436 15188 16842 22782 23258 25263 26579 33684 34173 34887 45564 46516 50526 53158 68346 69774 79737 81403 101052 104661 106316 110113 136692 139548 159474 162806 209322 220226 239211 244209 318948 325612 330339 418644 440452 478422 488418 660678 732627 770791 956844 976836 991017 1321356 1465254 1522597 1541582 1982034 2312373 2930508 3045194 3083164 3964068 4567791 4624746 6090388 6937119 9135582 9249492 10658179 13703373 13874238 18271164 21316358 27406746 27748476 31974537 42632716 44155313 54813492 63949074 88310626 95923611 127898148 132465939 176621252 191847222 264931878 309087191 383694444 397397817 529863756 618174382 794795634 927261573 1236348764 1589591268 1854523146 2781784719 3709046292 5563569438 11127138876