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204550244442 = 232311275235519
BaseRepresentation
bin1011111010000000100…
…1010000100001011010
3201112222110101001102100
42332200021100201122
511322404330310232
6233545153344230
720530642250535
oct2764011204132
9645873331370
10204550244442
117982730a1a5
1233787568076
131639ac383cb
149c86549a1c
1554c2b89c7c
hex2fa025085a

204550244442 has 96 divisors (see below), whose sum is σ = 462056325120. Its totient is φ = 65327381280.

The previous prime is 204550244419. The next prime is 204550244461. The reversal of 204550244442 is 244442055402.

204550244442 is a `hidden beast` number, since 2 + 0 + 4 + 550 + 24 + 44 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204550244397 and 204550244406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37060159 + ... + 37065677.

It is an arithmetic number, because the mean of its divisors is an integer number (4813086720).

Almost surely, 2204550244442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204550244442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231028162560).

204550244442 is an abundant number, since it is smaller than the sum of its proper divisors (257506080678).

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

204550244442 is a wasteful number, since it uses less digits than its factorization.

204550244442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6208 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 204550244442 its reverse (244442055402), we get a palindrome (448992299844).

The spelling of 204550244442 in words is "two hundred four billion, five hundred fifty million, two hundred forty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 127 186 254 279 381 523 558 762 1046 1143 1569 2286 3138 3937 4707 5519 7874 9414 11038 11811 16213 16557 23622 32426 33114 35433 48639 49671 66421 70866 97278 99342 132842 145917 171089 199263 291834 342178 398526 513267 597789 700913 1026534 1195578 1401826 1539801 2059051 2102739 2886437 3079602 4118102 4205478 5772874 6177153 6308217 8659311 12354306 12616434 17318622 18531459 21728303 25977933 37062918 43456606 51955866 65184909 89479547 130369818 178959094 195554727 268438641 366577499 391109454 536877282 733154998 805315923 1099732497 1610631846 2199464994 3299197491 6598394982 11363902469 22727804938 34091707407 68183414814 102275122221 204550244442