Search a number
-
+
203554096928 = 2571325779319
BaseRepresentation
bin1011110110010011000…
…1010000011100100000
3201110102000221111220222
42331210301100130200
511313334322100203
6233302250422212
720464155163430
oct2754461203440
9643360844828
10203554096928
1179365a87896
1233549a31968
131626c749900
149bd01222c0
1554654ba038
hex2f64c50720

203554096928 has 144 divisors (see below), whose sum is σ = 496850094720. Its totient is φ = 80378707968.

The previous prime is 203554096903. The next prime is 203554096931. The reversal of 203554096928 is 829690455302.

It is a self number, because there is not a number n which added to its sum of digits gives 203554096928.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21838253 + ... + 21847571.

It is an arithmetic number, because the mean of its divisors is an integer number (3450347880).

Almost surely, 2203554096928 is an apocalyptic number.

203554096928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203554096928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248425047360).

203554096928 is an abundant number, since it is smaller than the sum of its proper divisors (293295997792).

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

203554096928 is a wasteful number, since it uses less digits than its factorization.

203554096928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 53.

The spelling of 203554096928 in words is "two hundred three billion, five hundred fifty-four million, ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 577 676 728 1154 1183 1352 1456 2308 2366 2704 2912 4039 4616 4732 5408 7501 8078 9232 9319 9464 15002 16156 18464 18638 18928 30004 32312 37276 37856 52507 60008 64624 65233 74552 97513 105014 120016 121147 129248 130466 149104 195026 210028 240032 242294 260932 298208 390052 420056 484588 521864 682591 780104 840112 848029 969176 1043728 1365182 1560208 1574911 1680224 1696058 1938352 2087456 2730364 3120416 3149822 3392116 3876704 5377063 5460728 6299644 6784232 10754126 10921456 11024377 12599288 13568464 21508252 21842912 22048754 25198576 27136928 37639441 43016504 44097508 50397152 69901819 75278882 86033008 88195016 139803638 150557764 172066016 176390032 279607276 301115528 352780064 489312733 559214552 602231056 908723647 978625466 1118429104 1204462112 1817447294 1957250932 2236858208 3634894588 3914501864 6361065529 7269789176 7829003728 12722131058 14539578352 15658007456 25444262116 29079156704 50888524232 101777048464 203554096928