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19062060784144 = 247221127392
BaseRepresentation
bin1000101010110001110110…
…10111001001101000010000
32111111022111210100120022121
410111120323113021220100
54444303100030043034
6104312553445344024
74005121431153400
oct425307327115020
974438453316277
1019062060784144
11608a1a14028a4
12217a431708014
13a837106b25a1
1449c874266800
15230cabc401b4
hex11563b5c9a10

19062060784144 has 135 divisors (see below), whose sum is σ = 43225649410671. Its totient is φ = 8119734477120.

The previous prime is 19062060784127. The next prime is 19062060784153. The reversal of 19062060784144 is 44148706026091.

It is a happy number.

The square root of 19062060784144 is 4366012.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×190620607841442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 19062060784091 and 19062060784100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25794398527 + ... + 25794399265.

Almost surely, 219062060784144 is an apocalyptic number.

19062060784144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19062060784144 is the 4366012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19062060784144

19062060784144 is an abundant number, since it is smaller than the sum of its proper divisors (24163588626527).

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

19062060784144 is an frugal number, since it uses more digits than its factorization.

19062060784144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The spelling of 19062060784144 in words is "nineteen trillion, sixty-two billion, sixty million, seven hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 211 392 422 739 784 844 1477 1478 1688 2954 2956 3376 5173 5908 5912 10339 10346 11816 11824 20678 20692 23632 36211 41356 41384 44521 72422 82712 82768 89042 144844 155929 165424 178084 289688 311647 311858 356168 546121 579376 623294 623716 712336 1091503 1092242 1246588 1247432 2181529 2183006 2184484 2493176 2494864 3822847 4363058 4366012 4368968 4986352 7640521 7645694 8726116 8732024 8737936 15281042 15291388 17452232 17464048 26759929 30562084 30582776 32901019 34904464 53519858 61124168 61165552 65802038 107039716 115231531 122248336 131604076 214079432 230307133 230463062 263208152 428158864 460614266 460926124 526416304 806620717 921228532 921852248 1612149931 1613241434 1842457064 1843704496 3224299862 3226482868 3684914128 5646345019 6448599724 6452965736 11292690038 12897199448 12905931472 22585380076 24313853041 25794398896 45170760152 48627706082 90341520304 97255412164 170196971287 194510824328 340393942574 389021648656 680787885148 1191378799009 1361575770296 2382757598018 2723151540592 4765515196036 9531030392072 19062060784144