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2154396369060 = 22325131754157777
BaseRepresentation
bin11111010110011100000…
…001111100000010100100
321121221212120212001102100
4133112130001330002210
5240244200432302220
64325414355012100
7311435643662565
oct37263401740244
97557776761370
102154396369060
117607466490a1
122a9652b9a030
1312820a8a4c30
14763b809216c
153b092a29d90
hex1f59c07c0a4

2154396369060 has 144 divisors (see below), whose sum is σ = 7451676990576. Its totient is φ = 499118063616.

The previous prime is 2154396369049. The next prime is 2154396369091. The reversal of 2154396369060 is 609636934512.

2154396369060 is a `hidden beast` number, since 2 + 1 + 5 + 439 + 63 + 6 + 90 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 476133120576 + 1678263248484 = 690024^2 + 1295478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2154396368988 and 2154396369006.

It is an unprimeable number.

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, 27039109 + ... + 27118668.

It is an arithmetic number, because the mean of its divisors is an integer number (51747756879).

Almost surely, 22154396369060 is an apocalyptic number.

2154396369060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2154396369060 is an abundant number, since it is smaller than the sum of its proper divisors (5297280621516).

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

2154396369060 is a wasteful number, since it uses less digits than its factorization.

2154396369060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54157822 (or 54157817 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2154396369060 in words is "two trillion, one hundred fifty-four billion, three hundred ninety-six million, three hundred sixty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 102 117 130 153 156 170 180 195 204 221 234 255 260 306 340 390 442 468 510 585 612 663 765 780 884 1020 1105 1170 1326 1530 1989 2210 2340 2652 3060 3315 3978 4420 6630 7956 9945 13260 19890 39780 54157777 108315554 162473331 216631108 270788885 324946662 487419993 541577770 649893324 704051101 812366655 920682209 974839986 1083155540 1408102202 1624733310 1841364418 1949679972 2112153303 2437099965 2762046627 2816204404 3249466620 3520255505 3682728836 4224306606 4603411045 4874199930 5524093254 6336459909 7040511010 8286139881 8448613212 9206822090 9748399860 10560766515 11048186508 11968868717 12672919818 13810233135 14081022020 16572279762 18413644180 21121533030 23937737434 25345839636 27620466270 31682299545 33144559524 35906606151 41430699405 42243066060 47875474868 55240932540 59844343585 63364599090 71813212302 82861398810 107719818453 119688687170 126729198180 143626424604 165722797620 179533030755 215439636906 239377374340 359066061510 430879273812 538599092265 718132123020 1077198184530 2154396369060