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1799978112 = 27341271367
BaseRepresentation
bin110101101001001…
…0111110010000000
311122102222100210000
41223102113302000
512141243244422
6454335440000
762414363412
oct15322276200
94572870700
101799978112
1184404a219
12422986000
13228bb310a
141310ac9b2
15a8051cac
hex6b497c80

1799978112 has 160 divisors (see below), whose sum is σ = 5402833920. Its totient is φ = 594832896.

The previous prime is 1799978101. The next prime is 1799978171. The reversal of 1799978112 is 2118799971.

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 19 ways as a sum of consecutive naturals, for example, 1316053 + ... + 1317419.

It is an arithmetic number, because the mean of its divisors is an integer number (33767712).

Almost surely, 21799978112 is an apocalyptic number.

1799978112 is a gapful number since it is divisible by the number (12) 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 1799978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701416960).

1799978112 is an abundant number, since it is smaller than the sum of its proper divisors (3602855808).

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

1799978112 is a wasteful number, since it uses less digits than its factorization.

1799978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its digits is 571536, while the sum is 54.

The square root of 1799978112 is about 42426.1489178549. The cubic root of 1799978112 is about 1216.4354684563.

The spelling of 1799978112 in words is "one billion, seven hundred ninety-nine million, nine hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 254 288 324 381 384 432 508 576 648 762 864 1016 1143 1152 1296 1367 1524 1728 2032 2286 2592 2734 3048 3429 3456 4064 4101 4572 5184 5468 6096 6858 8128 8202 9144 10287 10368 10936 12192 12303 13716 16256 16404 18288 20574 21872 24384 24606 27432 32808 36576 36909 41148 43744 48768 49212 54864 65616 73152 73818 82296 87488 98424 109728 110727 131232 146304 147636 164592 173609 174976 196848 219456 221454 262464 295272 329184 347218 393696 438912 442908 520827 524928 590544 658368 694436 787392 885816 1041654 1181088 1316736 1388872 1562481 1574784 1771632 2083308 2362176 2777744 3124962 3543264 4166616 4687443 4724352 5555488 6249924 7086528 8333232 9374886 11110976 12499848 14062329 14173056 16666464 18749772 22221952 24999696 28124658 33332928 37499544 49999392 56249316 66665856 74999088 99998784 112498632 149998176 199997568 224997264 299996352 449994528 599992704 899989056 1799978112