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81851338008180 = 22345133886578253
BaseRepresentation
bin10010100111000101111111…
…111011010010011001110100
3101201210220121110221012220000
4102213011333323102121310
541212023020012230210
6450025552515111300
723145364313415546
oct2247057773223164
9351726543835800
1081851338008180
1124097a5949a164
12921b4075a2530
1336897180cc150
14162d8a9669696
1596e21b533ac0
hex4a717fed2674

81851338008180 has 120 divisors (see below), whose sum is σ = 276522269615592. Its totient is φ = 20148021658368.

The previous prime is 81851338008179. The next prime is 81851338008229. The reversal of 81851338008180 is 8180083315818.

81851338008180 is a `hidden beast` number, since 8 + 1 + 85 + 1 + 3 + 380 + 0 + 8 + 180 = 666.

81851338008180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16496822010384 + 65354515997796 = 4061628^2 + 8084214^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1943268067 + ... + 1943310186.

Almost surely, 281851338008180 is an apocalyptic number.

It is an amenable number.

81851338008180 is an abundant number, since it is smaller than the sum of its proper divisors (194670931607412).

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

81851338008180 is a wasteful number, since it uses less digits than its factorization.

81851338008180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886578287 (or 3886578276 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 81851338008180 in words is "eighty-one trillion, eight hundred fifty-one billion, three hundred thirty-eight million, eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 3886578253 7773156506 11659734759 15546313012 19432891265 23319469518 34979204277 38865782530 46638939036 50525517289 58298673795 69958408554 77731565060 101051034578 104937612831 116597347590 139916817108 151576551867 174896021385 202102069156 209875225662 233194695180 252627586445 303153103734 314812838493 349792042770 419750451324 454729655601 505255172890 524688064155 606306207468 629625676986 699584085540 757882759335 909459311202 1010510345780 1049376128310 1259251353972 1364188966803 1515765518670 1574064192465 1818918622404 2098752256620 2273648278005 2728377933606 3031531037340 3148128384930 4092566900409 4547296556010 5456755867212 6296256769860 6820944834015 8185133800818 9094593112020 13641889668030 16370267601636 20462834502045 27283779336060 40925669004090 81851338008180