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1055463642180 = 2232512774362141
BaseRepresentation
bin11110101101111101000…
…10010001010001000100
310201220100002001101011200
433112332202101101010
5114243042143022210
62124512344502500
7136153241634513
oct17267642212104
93656302041150
101055463642180
1137768a78a202
1215068077aa30
13786b6c5c41c
143912864867a
151c6c5ae80c0
hexf5be891444

1055463642180 has 144 divisors (see below), whose sum is σ = 3231177191424. Its totient is φ = 278860458240.

The previous prime is 1055463642151. The next prime is 1055463642187. The reversal of 1055463642180 is 812463645501.

1055463642180 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 636 + 4 + 2 + 1 + 8 + 0 = 666.

It is a super-2 number, since 2×10554636421802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1055463642187) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16953910 + ... + 17016050.

It is an arithmetic number, because the mean of its divisors is an integer number (22438730496).

Almost surely, 21055463642180 is an apocalyptic number.

1055463642180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055463642180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615588595712).

1055463642180 is an abundant number, since it is smaller than the sum of its proper divisors (2175713549244).

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

1055463642180 is a wasteful number, since it uses less digits than its factorization.

1055463642180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63026 (or 63021 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1055463642180 in words is "one trillion, fifty-five billion, four hundred sixty-three million, six hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 743 762 1143 1270 1486 1524 1905 2229 2286 2540 2972 3715 3810 4458 4572 5715 6687 7430 7620 8916 11145 11430 13374 14860 22290 22860 26748 33435 44580 62141 66870 94361 124282 133740 186423 188722 248564 283083 310705 372846 377444 471805 559269 566166 621410 745692 849249 932115 943610 1118538 1132332 1242820 1415415 1698498 1864230 1887220 2237076 2796345 2830830 3396996 3728460 4246245 5592690 5661660 7891907 8492490 11185380 15783814 16984980 23675721 31567628 39459535 46170763 47351442 71027163 78919070 92341526 94702884 118378605 138512289 142054326 157838140 184683052 230853815 236757210 277024578 284108652 355135815 415536867 461707630 473514420 554049156 692561445 710271630 831073734 923415260 1385122890 1420543260 1662147468 2077684335 2770245780 4155368670 5863686901 8310737340 11727373802 17591060703 23454747604 29318434505 35182121406 52773182109 58636869010 70364242812 87955303515 105546364218 117273738020 175910607030 211092728436 263865910545 351821214060 527731821090 1055463642180