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2154454351020 = 22325131257355517
BaseRepresentation
bin11111010110011111011…
…111000111110010101100
321121222000121221211201100
4133112133133013302230
5240244310303213040
64325424225443100
7311440246553316
oct37263737076254
97558017854640
102154454351020
11760776350874
122a966a4a0490
131282198c649a
14763c1a667b6
153b097b7eb30
hex1f59f7c7cac

2154454351020 has 144 divisors (see below), whose sum is σ = 6610706470368. Its totient is φ = 567915479040.

The previous prime is 2154454351013. The next prime is 2154454351109. The reversal of 2154454351020 is 201534544512.

2154454351020 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 4 + 543 + 5 + 102 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5882302 + ... + 6237818.

It is an arithmetic number, because the mean of its divisors is an integer number (45907683822).

Almost surely, 22154454351020 is an apocalyptic number.

2154454351020 is a gapful number since it is divisible by the number (20) 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 2154454351020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305353235184).

2154454351020 is an abundant number, since it is smaller than the sum of its proper divisors (4456252119348).

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

2154454351020 is a wasteful number, since it uses less digits than its factorization.

2154454351020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355920 (or 355915 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 2154454351020 its reverse (201534544512), we get a palindrome (2355988895532).

The spelling of 2154454351020 in words is "two trillion, one hundred fifty-four billion, four hundred fifty-four million, three hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 257 262 393 514 524 655 771 786 1028 1179 1285 1310 1542 1572 1965 2313 2358 2570 2620 3084 3855 3930 4626 4716 5140 5895 7710 7860 9252 11565 11790 15420 23130 23580 33667 46260 67334 101001 134668 168335 202002 303003 336670 355517 404004 505005 606006 673340 711034 1010010 1066551 1212012 1422068 1515015 1777585 2020020 2133102 3030030 3199653 3555170 4266204 5332755 6060060 6399306 7110340 10665510 12798612 15998265 21331020 31996530 46572727 63993060 91367869 93145454 139718181 182735738 186290908 232863635 274103607 279436362 365471476 419154543 456839345 465727270 548207214 558872724 698590905 822310821 838309086 913678690 931454540 1096414428 1370518035 1397181810 1644621642 1676618172 1827357380 2095772715 2741036070 2794363620 3289243284 4111554105 4191545430 5482072140 8223108210 8383090860 11969190839 16446216420 23938381678 35907572517 47876763356 59845954195 71815145034 107722717551 119691908390 143630290068 179537862585 215445435102 239383816780 359075725170 430890870204 538613587755 718151450340 1077227175510 2154454351020