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10728118390 = 25111923673331
BaseRepresentation
bin10011111110111001…
…00001100001110110
31000200122211212210011
421333130201201312
5133432344242030
64532312450434
7526565334043
oct117734414166
930618755704
1010728118390
11460581a150
1220b49a9a1a
13101c7c3262
1473ab3a1ca
1542bc86b2a
hex27f721876

10728118390 has 128 divisors (see below), whose sum is σ = 23491399680. Its totient is φ = 3481315200.

The previous prime is 10728118381. The next prime is 10728118391. The reversal of 10728118390 is 9381182701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10728118391) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3219025 + ... + 3222355.

It is an arithmetic number, because the mean of its divisors is an integer number (183526560).

Almost surely, 210728118390 is an apocalyptic number.

10728118390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10728118390 is an abundant number, since it is smaller than the sum of its proper divisors (12763281290).

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

10728118390 is a wasteful number, since it uses less digits than its factorization.

10728118390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3458.

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 10728118390 in words is "ten billion, seven hundred twenty-eight million, one hundred eighteen thousand, three hundred ninety".

Divisors: 1 2 5 10 11 19 22 23 38 46 55 67 95 110 115 134 190 209 230 253 335 418 437 506 670 737 874 1045 1265 1273 1474 1541 2090 2185 2530 2546 3082 3331 3685 4370 4807 6365 6662 7370 7705 9614 12730 14003 15410 16655 16951 24035 28006 29279 33310 33902 36641 48070 58558 63289 70015 73282 76613 84755 126578 140030 146395 153226 169510 183205 223177 292790 316445 322069 366410 383065 446354 632890 644138 696179 766130 842743 1115885 1392358 1455647 1610345 1685486 2231770 2454947 2911294 3220690 3480895 4213715 4240363 4909894 5133071 6961790 7278235 8427430 8480726 10266142 12274735 14556470 16012117 21201815 24549470 25665355 32024234 42403630 46643993 51330710 56463781 80060585 93287986 97528349 112927562 160121170 195056698 233219965 282318905 466439930 487641745 564637810 975283490 1072811839 2145623678 5364059195 10728118390