Search a number
-
+
11425053112 = 23114159191281
BaseRepresentation
bin10101010001111110…
…00111100110111000
31002111020020211111021
422220333013212320
5141344303144422
65125410312224
7553060230514
oct125077074670
932436224437
1011425053112
114933165560
12226a288674
131100ccb375
147a5517144
1546d050dc7
hex2a8fc79b8

11425053112 has 128 divisors (see below), whose sum is σ = 24559718400. Its totient is φ = 4936960000.

The previous prime is 11425053089. The next prime is 11425053137. The reversal of 11425053112 is 21135052411.

It is a super-2 number, since 2×114250531122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 40658412 + ... + 40658692.

It is an arithmetic number, because the mean of its divisors is an integer number (191872800).

Almost surely, 211425053112 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 11425053112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279859200).

11425053112 is an abundant number, since it is smaller than the sum of its proper divisors (13134665288).

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

11425053112 is a wasteful number, since it uses less digits than its factorization.

11425053112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 11425053112 in words is "eleven billion, four hundred twenty-five million, fifty-three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 59 82 88 118 164 191 236 281 328 382 451 472 562 649 764 902 1124 1298 1528 1804 2101 2248 2419 2596 3091 3608 4202 4838 5192 6182 7831 8404 9676 11269 11521 12364 15662 16579 16808 19352 22538 23042 24728 26609 31324 33158 45076 46084 53218 53671 62648 66316 86141 90152 92168 106436 107342 123959 126731 132632 172282 182369 212872 214684 247918 253462 344564 364738 429368 462029 495836 506924 590381 679739 689128 729476 924058 991672 1013848 1180762 1359478 1458952 1848116 2200511 2361524 2718956 3166589 3696232 4401022 4723048 5082319 5437912 6333178 7477129 8802044 10164638 12666356 14954258 17604088 20329276 24205621 25332712 29908516 34832479 40658552 48411242 59817032 69664958 96822484 129830149 139329916 193644968 259660298 278659832 519320596 1038641192 1428131639 2856263278 5712526556 11425053112