Search a number
-
+
1028492235264 = 2931364779609
BaseRepresentation
bin11101111011101101110…
…10100001001000000000
310122022201101120221110210
432331312322201020000
5113322323003012024
62104252141554120
7134206665520224
oct16756672411000
93568641527423
101028492235264
113671aa065a6a
121473b3b75940
1375ca9180350
1437aca52a784
151bb47d10129
hexef76ea1200

1028492235264 has 160 divisors (see below), whose sum is σ = 2955332096640. Its totient is φ = 315966062592.

The previous prime is 1028492235209. The next prime is 1028492235271. The reversal of 1028492235264 is 4625322948201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12879492 + ... + 12959100.

It is an arithmetic number, because the mean of its divisors is an integer number (18470825604).

Almost surely, 21028492235264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028492235264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477666048320).

1028492235264 is an abundant number, since it is smaller than the sum of its proper divisors (1926839861376).

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

1028492235264 is an equidigital number, since it uses as much as digits as its factorization.

1028492235264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80290 (or 80274 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 1028492235264 in words is "one trillion, twenty-eight billion, four hundred ninety-two million, two hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 647 768 832 1248 1294 1536 1664 1941 2496 2588 3328 3882 4992 5176 6656 7764 8411 9984 10352 15528 16822 19968 20704 25233 31056 33644 41408 50466 62112 67288 79609 82816 100932 124224 134576 159218 165632 201864 238827 248448 269152 318436 331264 403728 477654 496896 538304 636872 807456 955308 993792 1034917 1076608 1273744 1614912 1910616 2069834 2153216 2547488 3104751 3229824 3821232 4139668 4306432 5094976 6209502 6459648 7642464 8279336 10189952 12419004 12919296 15284928 16558672 20379904 24838008 30569856 33117344 40759808 49676016 51507023 61139712 66234688 99352032 103014046 122279424 132469376 154521069 198704064 206028092 264938752 309042138 397408128 412056184 529877504 618084276 669591299 794816256 824112368 1236168552 1339182598 1589632512 1648224736 2008773897 2472337104 2678365196 3296449472 4017547794 4944674208 5356730392 6592898944 8035095588 9889348416 10713460784 13185797888 16070191176 19778696832 21426921568 26371595776 32140382352 39557393664 42853843136 64280764704 79114787328 85707686272 128561529408 171415372544 257123058816 342830745088 514246117632 1028492235264