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1074895212132 = 2232779337160217
BaseRepresentation
bin11111010010001001011…
…11110100111001100100
310210202111021222101222200
433221010233310321210
5120102341133242012
62141444450454500
7140441622360120
oct17510457647144
93722437871880
101074895212132
11384951363325
121543a4294430
137a492942c01
143a04d244580
151ce619d03dc
hexfa44bf4e64

1074895212132 has 144 divisors (see below), whose sum is σ = 3153910556160. Its totient is φ = 302323746816.

The previous prime is 1074895212101. The next prime is 1074895212137. The reversal of 1074895212132 is 2312125984701.

1074895212132 is a `hidden beast` number, since 1 + 0 + 74 + 8 + 9 + 521 + 21 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (1074895212137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6628888 + ... + 6789104.

It is an arithmetic number, because the mean of its divisors is an integer number (21902156640).

Almost surely, 21074895212132 is an apocalyptic number.

1074895212132 is a gapful number since it is divisible by the number (12) 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 1074895212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576955278080).

1074895212132 is an abundant number, since it is smaller than the sum of its proper divisors (2079015344028).

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

1074895212132 is a wasteful number, since it uses less digits than its factorization.

1074895212132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160650 (or 160645 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1074895212132 in words is "one trillion, seventy-four billion, eight hundred ninety-five million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 337 474 553 674 711 948 1011 1106 1348 1422 1659 2022 2212 2359 2844 3033 3318 4044 4718 4977 6066 6636 7077 9436 9954 12132 14154 19908 21231 26623 28308 42462 53246 79869 84924 106492 159738 160217 186361 239607 319476 320434 372722 479214 480651 559083 640868 745444 958428 961302 1118166 1121519 1441953 1677249 1922604 2236332 2243038 2883906 3354498 3364557 4486076 5767812 6708996 6729114 10093671 12657143 13458228 20187342 25314286 37971429 40374684 50628572 53993129 75942858 88600001 107986258 113914287 151885716 161979387 177200002 215972516 227828574 265800003 323958774 354400004 377951903 455657148 485938161 531600006 647917548 755903806 797400009 971876322 1063200012 1133855709 1511807612 1594800018 1943752644 2267711418 3189600036 3401567127 4265457191 4535422836 6803134254 8530914382 12796371573 13606268508 17061828764 25592743146 29858200337 38389114719 51185486292 59716400674 76778229438 89574601011 119432801348 153556458876 179149202022 268723803033 358298404044 537447606066 1074895212132