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180421814016 = 283361427913
BaseRepresentation
bin1010100000000111111…
…0100110011100000000
3122020200220110210022000
42220001332212130000
510424000441022031
6214515025344000
716015010054403
oct2500176463400
9566626423260
10180421814016
116a575457304
122ab72a98000
1314024152b42
148a37c3bd3a
154a5e77a3e6
hex2a01fa6700

180421814016 has 144 divisors (see below), whose sum is σ = 542286853920. Its totient is φ = 59154554880.

The previous prime is 180421813987. The next prime is 180421814021. The reversal of 180421814016 is 610418124081.

180421814016 is a `hidden beast` number, since 1 + 80 + 421 + 8 + 140 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207676 + ... + 635588.

It is an arithmetic number, because the mean of its divisors is an integer number (3765880930).

Almost surely, 2180421814016 is an apocalyptic number.

180421814016 is a gapful number since it is divisible by the number (16) 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 180421814016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271143426960).

180421814016 is an abundant number, since it is smaller than the sum of its proper divisors (361865039904).

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

180421814016 is an equidigital number, since it uses as much as digits as its factorization.

180421814016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427999 (or 427979 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

Adding to 180421814016 its reverse (610418124081), we get a palindrome (790839938097).

The spelling of 180421814016 in words is "one hundred eighty billion, four hundred twenty-one million, eight hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 864 976 1098 1152 1464 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 5856 6588 6912 7808 8784 11712 13176 15616 17568 23424 26352 35136 46848 52704 70272 105408 140544 210816 421632 427913 855826 1283739 1711652 2567478 3423304 3851217 5134956 6846608 7702434 10269912 11553651 13693216 15404868 20539824 23107302 26102693 27386432 30809736 41079648 46214604 52205386 54772864 61619472 78308079 82159296 92429208 104410772 109545728 123238944 156616158 164318592 184858416 208821544 234924237 246477888 313232316 328637184 369716832 417643088 469848474 492955776 626464632 704772711 739433664 835286176 939696948 985911552 1252929264 1409545422 1478867328 1670572352 1879393896 2505858528 2819090844 2957734656 3341144704 3758787792 5011717056 5638181688 6682289408 7517575584 10023434112 11276363376 15035151168 20046868224 22552726752 30070302336 45105453504 60140604672 90210907008 180421814016