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104262658304 = 287475323357
BaseRepresentation
bin110000100011010001…
…0011110100100000000
3100222010020120211011012
41201012202132210000
53202012220031204
6115521514340052
710350503654510
oct1410642364400
9328106524135
10104262658304
1140243609402
121825942a628
139aa798636c
145091227840
152aa359476e
hex184689e900

104262658304 has 144 divisors (see below), whose sum is σ = 247503610368. Its totient is φ = 42906279936.

The previous prime is 104262658277. The next prime is 104262658309. The reversal of 104262658304 is 403856262401.

It is not an unprimeable number, because it can be changed into a prime (104262658309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4452194 + ... + 4475550.

It is an arithmetic number, because the mean of its divisors is an integer number (1718775072).

Almost surely, 2104262658304 is an apocalyptic number.

104262658304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104262658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123751805184).

104262658304 is an abundant number, since it is smaller than the sum of its proper divisors (143240952064).

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

104262658304 is an equidigital number, since it uses as much as digits as its factorization.

104262658304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23480 (or 23466 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 104262658304 in words is "one hundred four billion, two hundred sixty-two million, six hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 47 53 56 64 94 106 112 128 188 212 224 256 329 371 376 424 448 658 742 752 848 896 1316 1484 1504 1696 1792 2491 2632 2968 3008 3392 4982 5264 5936 6016 6784 9964 10528 11872 12032 13568 17437 19928 21056 23357 23744 34874 39856 42112 46714 47488 69748 79712 84224 93428 94976 139496 159424 163499 186856 278992 318848 326998 373712 557984 637696 653996 747424 1097779 1115968 1237921 1307992 1494848 2195558 2231936 2475842 2615984 2989696 4391116 4463872 4951684 5231968 5979392 7684453 8665447 8782232 9903368 10463936 15368906 17330894 17564464 19806736 20927872 30737812 34661788 35128928 39613472 41855744 58182287 61475624 69323576 70257856 79226944 116364574 122951248 138647152 140515712 158453888 232729148 245902496 277294304 281031424 316907776 407276009 465458296 491804992 554588608 814552018 930916592 983609984 1109177216 1629104036 1861833184 1967219968 2218354432 3258208072 3723666368 6516416144 7447332736 13032832288 14894665472 26065664576 52131329152 104262658304