Search a number
-
+
204202301332432 = 241318471828929063
BaseRepresentation
bin101110011011100010001101…
…101000100001101111010000
3222210000112211110222020121111
4232123202031220201233100
5203231122303120114212
62002145124151103104
761004062250265634
oct5633421550415720
9883015743866544
10204202301332432
115a079789617247
121aa9b935671a94
1389c326b0c7240
14385d63093cdc4
151891b85554ea7
hexb9b88da21bd0

204202301332432 has 80 divisors (see below), whose sum is σ = 426344619697920. Its totient is φ = 94187797456896.

The previous prime is 204202301332427. The next prime is 204202301332453. The reversal of 204202301332432 is 234233103202402.

It is a super-2 number, since 2×2042023013324322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204202301332394 and 204202301332403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7026180333 + ... + 7026209395.

It is an arithmetic number, because the mean of its divisors is an integer number (5329307746224).

Almost surely, 2204202301332432 is an apocalyptic number.

It is an amenable number.

204202301332432 is an abundant number, since it is smaller than the sum of its proper divisors (222142318365488).

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

204202301332432 is a wasteful number, since it uses less digits than its factorization.

204202301332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49220 (or 49214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 204202301332432 its reverse (234233103202402), we get a palindrome (438435404534834).

The spelling of 204202301332432 in words is "two hundred four trillion, two hundred two billion, three hundred one million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 1847 3694 7388 14776 18289 24011 29063 29552 36578 48022 58126 73156 96044 116252 146312 192088 232504 237757 292624 377819 384176 465008 475514 755638 951028 1511276 1902056 3022552 3804112 6045104 33779783 53679361 67559566 107358722 135119132 214717444 270238264 429434888 439137179 531533207 540476528 697831693 858869776 878274358 1063066414 1395663386 1756548716 2126132828 2791326772 3513097432 4252265656 5582653544 6909931691 7026194864 8504531312 11165307088 13819863382 27639726764 55279453528 110558907056 981741833329 1963483666658 3926967333316 7853934666632 12762643833277 15707869333264 25525287666554 51050575333108 102101150666216 204202301332432