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28574941950 = 23252592694001
BaseRepresentation
bin11010100111001100…
…110000001011111110
32201202102210110020100
4122213030300023332
5432010141120300
621043244101530
72031053666442
oct324714601376
981672713210
1028574941950
111113389a905
1256558348a6
132905081b99
141551092822
15b23984700
hex6a73302fe

28574941950 has 144 divisors (see below), whose sum is σ = 78382371600. Its totient is φ = 7461120000.

The previous prime is 28574941937. The next prime is 28574941981. The reversal of 28574941950 is 5914947582.

It is a happy number.

28574941950 is a `hidden beast` number, since 2 + 8 + 574 + 9 + 4 + 19 + 50 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 7139950 + ... + 7143950.

It is an arithmetic number, because the mean of its divisors is an integer number (544322025).

Almost surely, 228574941950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28574941950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191185800).

28574941950 is an abundant number, since it is smaller than the sum of its proper divisors (49807429650).

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

28574941950 is a wasteful number, since it uses less digits than its factorization.

28574941950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 28574941950 in words is "twenty-eight billion, five hundred seventy-four million, nine hundred forty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 59 75 90 118 150 177 225 269 295 354 450 531 538 590 807 885 1062 1345 1475 1614 1770 2421 2655 2690 2950 4001 4035 4425 4842 5310 6725 8002 8070 8850 12003 12105 13275 13450 15871 20005 20175 24006 24210 26550 31742 36009 40010 40350 47613 60015 60525 72018 79355 95226 100025 120030 121050 142839 158710 180045 200050 236059 238065 285678 300075 360090 396775 472118 476130 600150 708177 714195 793550 900225 1076269 1180295 1190325 1416354 1428390 1800450 2124531 2152538 2360590 2380650 3228807 3540885 3570975 4249062 5381345 5901475 6457614 7081770 7141950 9686421 10622655 10762690 11802950 16144035 17704425 19372842 21245310 26906725 32288070 35408850 48432105 53113275 53813450 63499871 80720175 96864210 106226550 126999742 161440350 190499613 242160525 317499355 380999226 484321050 571498839 634998710 952498065 1142997678 1587496775 1904996130 2857494195 3174993550 4762490325 5714988390 9524980650 14287470975 28574941950