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11365420950 = 232521319102253
BaseRepresentation
bin10101001010110111…
…01000111110010110
31002100002001012112200
422211123220332112
5141234021432300
65115440225330
7551434325022
oct124533507626
932302035480
1011365420950
114902535a84
12225230b246
1310c184c970
1479b633382
15467bc2200
hex2a56e8f96

11365420950 has 144 divisors (see below), whose sum is σ = 34615024080. Its totient is φ = 2650371840.

The previous prime is 11365420939. The next prime is 11365420999. The reversal of 11365420950 is 5902456311.

11365420950 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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 71 ways as a sum of consecutive naturals, for example, 60024 + ... + 162276.

Almost surely, 211365420950 is an apocalyptic number.

11365420950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11365420950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17307512040).

11365420950 is an abundant number, since it is smaller than the sum of its proper divisors (23249603130).

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

11365420950 is a wasteful number, since it uses less digits than its factorization.

11365420950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102303 (or 102295 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 11365420950 in words is "eleven billion, three hundred sixty-five million, four hundred twenty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 171 190 195 225 234 247 285 325 342 390 450 475 494 570 585 650 741 855 950 975 1170 1235 1425 1482 1710 1950 2223 2470 2850 2925 3705 4275 4446 5850 6175 7410 8550 11115 12350 18525 22230 37050 55575 102253 111150 204506 306759 511265 613518 920277 1022530 1329289 1533795 1840554 1942807 2556325 2658578 3067590 3885614 3987867 4601385 5112650 5828421 6646445 7668975 7975734 9202770 9714035 11656842 11963601 13292890 15337950 17485263 19428070 19939335 23006925 23927202 25256491 29142105 33232225 34970526 39878670 46013850 48570175 50512982 58284210 59818005 66464450 75769473 87426315 97140350 99696675 119636010 126282455 145710525 151538946 174852630 199393350 227308419 252564910 291421050 299090025 378847365 437131575 454616838 598180050 631412275 757694730 874263150 1136542095 1262824550 1894236825 2273084190 3788473650 5682710475 11365420950