Search a number
-
+
2125135446 = 2371961149293
BaseRepresentation
bin111111010101010…
…1111111001010110
312111002211001210020
41332222233321112
513323013313241
6550513010010
7103443232110
oct17652577126
95432731706
102125135446
119a0646795
124b3853906
1327b37b8c5
141623503b0
15c687eb66
hex7eaafe56

2125135446 has 128 divisors (see below), whose sum is σ = 5249664000. Its totient is φ = 560079360.

The previous prime is 2125135423. The next prime is 2125135447. The reversal of 2125135446 is 6445315212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125135447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7252876 + ... + 7253168.

It is an arithmetic number, because the mean of its divisors is an integer number (41013000).

Almost surely, 22125135446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125135446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624832000).

2125135446 is an abundant number, since it is smaller than the sum of its proper divisors (3124528554).

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

2125135446 is a wasteful number, since it uses less digits than its factorization.

2125135446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its digits is 28800, while the sum is 33.

The square root of 2125135446 is about 46099.1913811945. The cubic root of 2125135446 is about 1285.6681100277.

The spelling of 2125135446 in words is "two billion, one hundred twenty-five million, one hundred thirty-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 61 114 122 133 149 183 266 293 298 366 399 427 447 586 798 854 879 894 1043 1159 1281 1758 2051 2086 2318 2562 2831 3129 3477 4102 5567 5662 6153 6258 6954 8113 8493 9089 11134 12306 16226 16701 16986 17873 18178 19817 24339 27267 33402 35746 38969 39634 43657 48678 53619 54534 59451 63623 77938 87314 107238 116907 118902 125111 127246 130971 172691 190869 233814 250222 261942 305599 339587 345382 375333 381738 518073 611198 679174 750666 829483 916797 1018761 1036146 1208837 1658966 1833594 2037522 2377109 2417674 2488449 2663077 3626511 4754218 4976898 5326154 5806381 7131327 7253022 7989231 11612762 14262654 15978462 17419143 18641539 34838286 37283078 50598463 55924617 101196926 111849234 151795389 303590778 354189241 708378482 1062567723 2125135446