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10728004257 = 341937293643
BaseRepresentation
bin10011111110111000…
…00101101010100001
31000200122122002020000
421333130011222201
5133432332114012
64532310210213
7526564350225
oct117734055241
930618562200
1010728004257
114605751423
1220b4953969
13101c783319
1473ab0a785
1542bc62ddc
hex27f705aa1

10728004257 has 80 divisors (see below), whose sum is σ = 17411338560. Its totient is φ = 6559740288.

The previous prime is 10728004237. The next prime is 10728004267. The reversal of 10728004257 is 75240082701.

It is not a de Polignac number, because 10728004257 - 26 = 10728004193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10728004237) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16683978 + ... + 16684620.

It is an arithmetic number, because the mean of its divisors is an integer number (217641732).

Almost surely, 210728004257 is an apocalyptic number.

It is an amenable number.

10728004257 is a deficient number, since it is larger than the sum of its proper divisors (6683334303).

10728004257 is a wasteful number, since it uses less digits than its factorization.

10728004257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 10728004257 its reverse (75240082701), we get a palindrome (85968086958).

The spelling of 10728004257 in words is "ten billion, seven hundred twenty-eight million, four thousand, two hundred fifty-seven".

Divisors: 1 3 9 19 27 37 57 81 111 171 293 333 513 643 703 879 999 1539 1929 2109 2637 2997 5567 5787 6327 7911 10841 12217 16701 17361 18981 23733 23791 32523 36651 50103 52083 56943 71373 97569 109953 150309 188399 205979 214119 292707 329859 450927 452029 565197 617937 642357 878121 989577 1356087 1695591 1853811 1927071 3579581 4068261 5086773 5561433 6970763 10738743 12204783 15260319 16684299 20912289 32216229 36614349 62736867 96648687 132444497 188210601 289946061 397333491 564631803 1192000473 3576001419 10728004257