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1019930723868 = 2237279167131477
BaseRepresentation
bin11101101011110001001…
…10111100011000011100
310121111121201121002202010
432311320212330120130
5113202304231130433
62100314423031220
7133454556052500
oct16657046743034
93544551532663
101019930723868
11363606338811
1214580489b510
13752434c9284
1437517458300
151b7e639ae63
hexed789bc61c

1019930723868 has 144 divisors (see below), whose sum is σ = 2820234654720. Its totient is φ = 285995009664.

The previous prime is 1019930723849. The next prime is 1019930723881. The reversal of 1019930723868 is 8683270399101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7691746 + ... + 7823222.

It is an arithmetic number, because the mean of its divisors is an integer number (19584962880).

Almost surely, 21019930723868 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 1019930723868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410117327360).

1019930723868 is an abundant number, since it is smaller than the sum of its proper divisors (1800303930852).

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

1019930723868 is a wasteful number, since it uses less digits than its factorization.

1019930723868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131744 (or 131735 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 1019930723868 in words is "one trillion, nineteen billion, nine hundred thirty million, seven hundred twenty-three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 79 84 98 147 158 167 196 237 294 316 334 474 501 553 588 668 948 1002 1106 1169 1659 2004 2212 2338 3318 3507 3871 4676 6636 7014 7742 8183 11613 13193 14028 15484 16366 23226 24549 26386 32732 39579 46452 49098 52772 79158 92351 98196 131477 158316 184702 262954 277053 369404 394431 525908 554106 646457 788862 920339 1108212 1292914 1577724 1840678 1939371 2585828 2761017 3681356 3878742 5522034 6442373 7757484 10386683 11044068 12884746 19327119 20773366 21956659 25769492 31160049 38654238 41546732 43913318 62320098 65869977 72706781 77308476 87826636 124640196 131739954 145413562 153696613 218120343 263479908 290827124 307393226 436240686 461089839 508947467 614786452 872481372 922179678 1017894934 1075876291 1526842401 1734576061 1844359356 2035789868 2151752582 3053684802 3227628873 3469152122 4303505164 5203728183 6107369604 6455257746 6938304244 10407456366 12142032427 12910515492 20814912732 24284064854 36426097281 48568129708 72852194562 84994226989 145704389124 169988453978 254982680967 339976907956 509965361934 1019930723868