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180086361979876 = 2211423224112
BaseRepresentation
bin101000111100100110011111…
…101000100111101111100100
3212121122002101012110200121221
4220330212133220213233210
5142101013332131324001
61435002311012150124
752634544634063522
oct5074463750475744
9777562335420557
10180086361979876
1152421219550000
1218245b3a308344
1379640c01979b1
143268325459312
1515c46d5eb31a1
hexa3c99fa27be4

180086361979876 has 135 divisors (see below), whose sum is σ = 362542135862515. Its totient is φ = 78265942757200.

The previous prime is 180086361979871. The next prime is 180086361979897. The reversal of 180086361979876 is 678979163680081.

The square root of 180086361979876 is 13419626.

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

It is a super-2 number, since 2×1800863619798762 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180086361979796 and 180086361979805.

It is not an unprimeable number, because it can be changed into a prime (180086361979871) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 74693637111 + ... + 74693639521.

Almost surely, 2180086361979876 is an apocalyptic number.

180086361979876 is the 13419626-th square number.

It is an amenable number.

180086361979876 is an abundant number, since it is smaller than the sum of its proper divisors (182455773882639).

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

180086361979876 is an frugal number, since it uses more digits than its factorization.

180086361979876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4916 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 79.

The spelling of 180086361979876 in words is "one hundred eighty trillion, eighty-six billion, three hundred sixty-one million, nine hundred seventy-nine thousand, eight hundred seventy-six".

Divisors: 1 2 4 11 22 23 44 46 92 121 242 253 484 506 529 1012 1058 1331 2116 2411 2662 2783 4822 5324 5566 5819 9644 11132 11638 14641 23276 26521 29282 30613 53042 55453 58564 61226 64009 106084 110906 122452 128018 221812 256036 291731 336743 583462 609983 673486 704099 1166924 1219966 1275419 1346972 1408198 2439932 2550838 2816396 3209041 5101676 5812921 6418082 6709813 7745089 11625842 12836164 13419626 14029609 15490178 23251684 26839252 28059218 30980356 35299451 56118436 63942131 70598902 73807943 127884262 133697183 141197804 147615886 154325699 255768524 267394366 295231772 308651398 534788732 617302796 703363441 811887373 1406726882 1470669013 1623774746 1697582689 2813453764 2941338026 3075035209 3247549492 3395165378 5882676052 6150070418 6790330756 7736997851 12300140836 15473995702 16177359143 18673409579 30947991404 32354718286 33825387299 37346819158 64709436572 67650774598 74693638316 85106976361 135301549196 170213952722 177950950573 340427905444 355901901146 372079260289 711803802292 744158520578 1488317041156 1957460456303 3914920912606 4092871863179 7829841825212 8185743726358 16371487452716 45021590494969 90043180989938 180086361979876