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1028492109316 = 227210726772
BaseRepresentation
bin11101111011101101110…
…10000010011000000100
310122022201101100112201001
432331312322002120010
5113322322434444231
62104252135143044
7134206664454100
oct16756672023004
93568641315631
101028492109316
113671a9a8a381
121473b3b14a84
1375ca9137c19
1437aca4d6900
151bb47cd7b61
hexef76e82604

1028492109316 has 81 divisors (see below), whose sum is σ = 2116592815701. Its totient is φ = 436017874656.

The previous prime is 1028492109301. The next prime is 1028492109319. The reversal of 1028492109316 is 6139012948201.

The square root of 1028492109316 is 1014146.

It is a perfect power (a square), and thus also a powerful number.

1028492109316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1022424322500 + 6067786816 = 1011150^2 + 77896^2 .

It is not an unprimeable number, because it can be changed into a prime (1028492109319) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1519190370 + ... + 1519191046.

Almost surely, 21028492109316 is an apocalyptic number.

1028492109316 is the 1014146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028492109316

1028492109316 is an abundant number, since it is smaller than the sum of its proper divisors (1088100706385).

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

1028492109316 is an frugal number, since it uses more digits than its factorization.

1028492109316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The spelling of 1028492109316 in words is "one trillion, twenty-eight billion, four hundred ninety-two million, one hundred nine thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 428 677 749 1354 1498 2708 2996 4739 5243 9478 10486 11449 18956 20972 22898 33173 45796 66346 72439 80143 132692 144878 160286 289756 320572 458329 507073 561001 916658 1014146 1122002 1833316 2028292 2244004 3208303 3549511 6416606 7099022 7750973 12833212 14198044 15501946 22458121 31003892 44916242 49041203 54256811 89832484 98082406 108513622 196164812 217027244 343288421 379797677 686576842 759595354 1373153684 1519190708 2403018947 4806037894 5247408721 9612075788 10494817442 20989634884 36731861047 73463722094 146927444188 257123027329 514246054658 1028492109316