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800228828736 = 26375717227
BaseRepresentation
bin10111010010100010101…
…10101110011001000000
32211111112022201110000000
423221101112232121000
5101102332040004421
61411341533000000
7111546262546131
oct13512126563100
92744468643000
10800228828736
11289414348157
1210b10b023000
135a5cc4b87ac
142aa348cdc88
1515c38443226
hexba515ae640

800228828736 has 112 divisors (see below), whose sum is σ = 2381568495680. Its totient is φ = 266742896256.

The previous prime is 800228828657. The next prime is 800228828741. The reversal of 800228828736 is 637828822008.

It is a happy number.

800228828736 is a `hidden beast` number, since 80 + 0 + 2 + 288 + 287 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2718646 + ... + 2998581.

Almost surely, 2800228828736 is an apocalyptic number.

It is an amenable number.

800228828736 is an abundant number, since it is smaller than the sum of its proper divisors (1581339666944).

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

800228828736 is an frugal number, since it uses more digits than its factorization.

800228828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5717260 (or 5717232 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 800228828736 in words is "eight hundred billion, two hundred twenty-eight million, eight hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 5184 5832 7776 8748 11664 15552 17496 23328 34992 46656 69984 139968 5717227 11434454 17151681 22868908 34303362 45737816 51455043 68606724 91475632 102910086 137213448 154365129 182951264 205820172 274426896 308730258 365902528 411640344 463095387 548853792 617460516 823280688 926190774 1097707584 1234921032 1389286161 1646561376 1852381548 2469842064 2778572322 3293122752 3704763096 4167858483 4939684128 5557144644 7409526192 8335716966 9879368256 11114289288 12503575449 14819052384 16671433932 22228578576 25007150898 29638104768 33342867864 44457157152 50014301796 66685735728 88914314304 100028603592 133371471456 200057207184 266742942912 400114414368 800228828736