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1769001081444 = 223419238892
BaseRepresentation
bin11001101111100000101…
…011100101101001100100
320021010002201121221110000
4121233200223211221210
5212440403234101234
63432400132301300
7241543332044142
oct31574053455144
96233081557400
101769001081444
11622257aa1333
12246a16a71830
13caa7bc3124c
1461897818592
15310383b3899
hex19be0ae5a64

1769001081444 has 135 divisors (see below), whose sum is σ = 4881979587177. Its totient is φ = 558488276352.

The previous prime is 1769001081413. The next prime is 1769001081457. The reversal of 1769001081444 is 4441801009671.

The square root of 1769001081444 is 1330038.

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

1769001081444 is a `hidden beast` number, since 17 + 6 + 90 + 0 + 108 + 1 + 444 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1282243699044 + 486757382400 = 1132362^2 + 697680^2 .

It is a super-2 number, since 2×17690010814442 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1769001081444.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 454871052 + ... + 454874940.

Almost surely, 21769001081444 is an apocalyptic number.

1769001081444 is the 1330038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1769001081444

1769001081444 is an abundant number, since it is smaller than the sum of its proper divisors (3112978505733).

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

1769001081444 is an frugal number, since it uses more digits than its factorization.

1769001081444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1769001081444 in words is "one trillion, seven hundred sixty-nine billion, one million, eighty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1083 1444 1539 2052 2166 3078 3249 3889 4332 6156 6498 7778 9747 11667 12996 15556 19494 23334 29241 35001 38988 46668 58482 70002 73891 105003 116964 140004 147782 210006 221673 295564 315009 420012 443346 630018 665019 886692 1260036 1330038 1403929 1995057 2660076 2807858 3990114 4211787 5615716 5985171 7980228 8423574 11970342 12635361 15124321 16847148 23940684 25270722 30248642 37906083 45372963 50541444 60497284 75812166 90745926 113718249 136118889 151624332 181491852 227436498 272237778 287362099 408356667 454872996 544475556 574724198 816713334 862086297 1149448396 1225070001 1633426668 1724172594 2450140002 2586258891 3448345188 4900280004 5172517782 5459879881 7758776673 10345035564 10919759762 15517553346 16379639643 21839519524 23276330019 31035106692 32759279286 46552660038 49138918929 65518558572 93105320076 98277837858 147416756787 196555675716 294833513574 442250270361 589667027148 884500540722 1769001081444