Search a number
-
+
1720214067744 = 253267151590389
BaseRepresentation
bin11001000010000100101…
…111111001101000100000
320002110011200020212012200
4121002010233321220200
5211140444300131434
63354131101253200
7235165336214454
oct31020457715040
96073150225180
101720214067744
116035a1aa48a7
12239480264200
13c62a55818c3
145d38a238664
152eb30272199
hex19084bf9a20

1720214067744 has 144 divisors (see below), whose sum is σ = 4997759981760. Its totient is φ = 561104755200.

The previous prime is 1720214067713. The next prime is 1720214067763. The reversal of 1720214067744 is 4477604120271.

1720214067744 is a `hidden beast` number, since 172 + 0 + 2 + 1 + 406 + 7 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1720214067744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2618502 + ... + 3208890.

It is an arithmetic number, because the mean of its divisors is an integer number (34706666540).

Almost surely, 21720214067744 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 1720214067744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498879990880).

1720214067744 is an abundant number, since it is smaller than the sum of its proper divisors (3277545914016).

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

1720214067744 is a wasteful number, since it uses less digits than its factorization.

1720214067744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590623 (or 590612 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 1720214067744 in words is "one trillion, seven hundred twenty billion, two hundred fourteen million, sixty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 151 201 268 288 302 402 453 536 603 604 804 906 1072 1206 1208 1359 1608 1812 2144 2412 2416 2718 3216 3624 4824 4832 5436 6432 7248 9648 10117 10872 14496 19296 20234 21744 30351 40468 43488 60702 80936 91053 121404 161872 182106 242808 323744 364212 485616 590389 728424 971232 1180778 1456848 1771167 2361556 2913696 3542334 4723112 5313501 7084668 9446224 10627002 14169336 18892448 21254004 28338672 39556063 42508008 56677344 79112126 85016016 89148739 118668189 158224252 170032032 178297478 237336378 267446217 316448504 356004567 356594956 474672756 534892434 632897008 712009134 713189912 802338651 949345512 1069784868 1265794016 1424018268 1426379824 1604677302 1898691024 2139569736 2848036536 2852759648 3209354604 3797382048 4279139472 5696073072 5972965513 6418709208 8558278944 11392146144 11945931026 12837418416 17918896539 23891862052 25674836832 35837793078 47783724104 53756689617 71675586156 95567448208 107513379234 143351172312 191134896416 215026758468 286702344624 430053516936 573404689248 860107033872 1720214067744