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10010028288 = 283131397213
BaseRepresentation
bin10010101001010010…
…01110100100000000
3221211121122010100110
421110221032210000
5131000031401123
64333141351320
7503025556641
oct112451164400
927747563313
1010010028288
114277444457
121b34408540
13c36abbb80
146ad6136c8
153d8bde493
hex254a4e900

10010028288 has 144 divisors (see below), whose sum is σ = 28901015360. Its totient is φ = 3057426432.

The previous prime is 10010028227. The next prime is 10010028289. The reversal of 10010028288 is 88282001001.

It is not an unprimeable number, because it can be changed into a prime (10010028289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1384170 + ... + 1391382.

Almost surely, 210010028288 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 10010028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450507680).

10010028288 is an abundant number, since it is smaller than the sum of its proper divisors (18890987072).

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

10010028288 is a wasteful number, since it uses less digits than its factorization.

10010028288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7384 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

Adding to 10010028288 its reverse (88282001001), we get a palindrome (98292029289).

The spelling of 10010028288 in words is "ten billion, ten million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 256 278 312 384 416 417 556 624 768 832 834 1112 1248 1664 1668 1807 2224 2496 3328 3336 3614 4448 4992 5421 6672 7213 7228 8896 9984 10842 13344 14426 14456 17792 21639 21684 26688 28852 28912 35584 43278 43368 53376 57704 57824 86556 86736 93769 106752 115408 115648 173112 173472 187538 230816 231296 281307 346224 346944 375076 461632 462592 562614 692448 693888 750152 923264 1002607 1125228 1384896 1387776 1500304 1846528 2005214 2250456 2769792 3000608 3007821 4010428 4500912 5539584 6001216 6015642 8020856 9001824 12002432 12031284 13033891 16041712 18003648 24004864 24062568 26067782 32083424 36007296 39101673 48125136 52135564 64166848 72014592 78203346 96250272 104271128 128333696 156406692 192500544 208542256 256667392 312813384 385001088 417084512 625626768 770002176 834169024 1251253536 1668338048 2502507072 3336676096 5005014144 10010028288