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19192928291920 = 2456138910110481
BaseRepresentation
bin1000101110100101100111…
…01011000100110001010000
32111221211022011122202220001
410113102303223010301100
510003424104120320140
6104453035354255344
74020433440501055
oct427226353046120
974854264582801
1019192928291920
11612a7477313a9
12219b874a27554
13a92b68215316
144a4d2aa3102c
152343bad12e9a
hex1174b3ac4c50

19192928291920 has 80 divisors (see below), whose sum is σ = 45471690585360. Its totient is φ = 7531903180800.

The previous prime is 19192928291869. The next prime is 19192928291939. The reversal of 19192928291920 is 2919282929191.

It can be written as a sum of positive squares in 8 ways, for example, as 9752229596736 + 9440698695184 = 3122856^2 + 3072572^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 3156921 + ... + 6953560.

It is an arithmetic number, because the mean of its divisors is an integer number (568396132317).

Almost surely, 219192928291920 is an apocalyptic number.

19192928291920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19192928291920 is an abundant number, since it is smaller than the sum of its proper divisors (26278762293440).

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

19192928291920 is a wasteful number, since it uses less digits than its factorization.

19192928291920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110944 (or 10110938 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 64.

The spelling of 19192928291920 in words is "nineteen trillion, one hundred ninety-two billion, nine hundred twenty-eight million, two hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 389 488 610 778 976 1220 1556 1945 2440 3112 3890 4880 6224 7780 15560 23729 31120 47458 94916 118645 189832 237290 379664 474580 949160 1898320 10110481 20220962 40441924 50552405 80883848 101104810 161767696 202209620 404419240 616739341 808838480 1233478682 2466957364 3083696705 3932977109 4933914728 6167393410 7865954218 9867829456 12334786820 15731908436 19664885545 24669573640 31463816872 39329771090 49339147280 62927633744 78659542180 157319084360 239911603649 314638168720 479823207298 959646414596 1199558018245 1919292829192 2399116036490 3838585658384 4798232072980 9596464145960 19192928291920