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2127893112 = 233341241997
BaseRepresentation
bin111111011010101…
…0001001001111000
312111022000011121000
41332311101021320
513324220034422
6551052045000
7103505536002
oct17665211170
95438004530
102127893112
119a215a654
124b4763760
1327bb05b67
1416286b372
15c6c26cac
hex7ed51278

2127893112 has 128 divisors (see below), whose sum is σ = 6086203200. Its totient is φ = 688435200.

The previous prime is 2127893107. The next prime is 2127893113. The reversal of 2127893112 is 2113987212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127893113) 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, 2133798 + ... + 2134794.

Almost surely, 22127893112 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 2127893112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043101600).

2127893112 is an abundant number, since it is smaller than the sum of its proper divisors (3958310088).

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

2127893112 is a wasteful number, since it uses less digits than its factorization.

2127893112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1284 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 2127893112 is about 46129.0918185043. The cubic root of 2127893112 is about 1286.2239821680.

The spelling of 2127893112 in words is "two billion, one hundred twenty-seven million, eight hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 241 246 328 369 482 492 723 738 964 984 997 1107 1446 1476 1928 1994 2169 2214 2892 2952 2991 3988 4338 4428 5784 5982 6507 7976 8676 8856 8973 9881 11964 13014 17352 17946 19762 23928 26028 26919 29643 35892 39524 40877 52056 53838 59286 71784 79048 81754 88929 107676 118572 122631 163508 177858 215352 237144 240277 245262 266787 327016 355716 367893 480554 490524 533574 711432 720831 735786 961108 981048 1067148 1103679 1441662 1471572 1922216 2134296 2162493 2207358 2883324 2943144 4324986 4414716 5766648 6487479 8649972 8829432 9851357 12974958 17299944 19702714 25949916 29554071 39405428 51899832 59108142 78810856 88662213 118216284 177324426 236432568 265986639 354648852 531973278 709297704 1063946556 2127893112