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1068581173284 = 223127092
BaseRepresentation
bin11111000110011000110…
…01101011100000100100
310210011012021000000000000
433203030121223200210
5120001423240021114
62134522135021300
7140126303051442
oct17431431534044
93704167000000
101068581173284
1138220123a4a9
1215312180a830
13799c77a2351
1439a10849b92
151cbe2513e09
hexf8cc66b824

1068581173284 has 117 divisors (see below), whose sum is σ = 2808985710657. Its totient is φ = 355691335536.

The previous prime is 1068581173273. The next prime is 1068581173381. The reversal of 1068581173284 is 4823711858601.

The square root of 1068581173284 is 1033722.

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

1068581173284 is a `hidden beast` number, since 10 + 6 + 8 + 581 + 17 + 32 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 142598374884 + 925982798400 = 377622^2 + 962280^2 .

It is a super-2 number, since 2×10685811732842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1068581173284.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 1507166322 + ... + 1507167030.

Almost surely, 21068581173284 is an apocalyptic number.

1068581173284 is the 1033722-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068581173284

1068581173284 is an abundant number, since it is smaller than the sum of its proper divisors (1740404537373).

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

1068581173284 is an frugal number, since it uses more digits than its factorization.

1068581173284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1068581173284 in words is "one trillion, sixty-eight billion, five hundred eighty-one million, one hundred seventy-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 709 729 972 1418 1458 2127 2187 2836 2916 4254 4374 6381 6561 8508 8748 12762 13122 19143 19683 25524 26244 38286 39366 57429 59049 76572 78732 114858 118098 172287 177147 229716 236196 344574 354294 502681 516861 531441 689148 708588 1005362 1033722 1062882 1508043 1550583 2010724 2067444 2125764 3016086 3101166 4524129 4651749 6032172 6202332 9048258 9303498 13572387 13955247 18096516 18606996 27144774 27910494 40717161 41865741 54289548 55820988 81434322 83731482 122151483 125597223 162868644 167462964 244302966 251194446 366454449 376791669 488605932 502388892 732908898 753583338 1099363347 1465817796 1507166676 2198726694 3298090041 4397453388 6596180082 9894270123 13192360164 19788540246 29682810369 39577080492 59365620738 89048431107 118731241476 178096862214 267145293321 356193724428 534290586642 1068581173284