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2254995472860 = 22325131171822949
BaseRepresentation
bin100000110100001000001…
…101000100000111011100
321222120112111211000120200
4200310020031010013130
5243421212320112420
64443533002543500
7321626614155444
oct40641015040734
97876474730520
102254995472860
1179a37a17a7a9
12305049507b90
13134850558360
147b1dc905124
153d9ce656b90
hex20d083441dc

2254995472860 has 144 divisors (see below), whose sum is σ = 7372618125600. Its totient is φ = 554601116160.

The previous prime is 2254995472859. The next prime is 2254995472871. The reversal of 2254995472860 is 682745994522.

2254995472860 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 9 + 9 + 547 + 2 + 86 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2328666 + ... + 3151614.

Almost surely, 22254995472860 is an apocalyptic number.

2254995472860 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 2254995472860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686309062800).

2254995472860 is an abundant number, since it is smaller than the sum of its proper divisors (5117622652740).

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

2254995472860 is a wasteful number, since it uses less digits than its factorization.

2254995472860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824148 (or 824143 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 2254995472860 in words is "two trillion, two hundred fifty-four billion, nine hundred ninety-five million, four hundred seventy-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 1171 2340 2342 3513 4684 5855 7026 10539 11710 14052 15223 17565 21078 23420 30446 35130 42156 45669 52695 60892 70260 76115 91338 105390 137007 152230 182676 210780 228345 274014 304460 456690 548028 685035 822949 913380 1370070 1645898 2468847 2740140 3291796 4114745 4937694 7406541 8229490 9875388 10698337 12344235 14813082 16458980 21396674 24688470 29626164 32095011 37032705 42793348 49376940 53491685 64190022 74065410 96285033 106983370 128380044 148130820 160475055 192570066 213966740 320950110 385140132 481425165 641900220 962850330 963673279 1925700660 1927346558 2891019837 3854693116 4818366395 5782039674 8673059511 9636732790 11564079348 12527752627 14455099185 17346119022 19273465580 25055505254 28910198370 34692238044 37583257881 43365297555 50111010508 57820396740 62638763135 75166515762 86730595110 112749773643 125277526270 150333031524 173461190220 187916289405 225499547286 250555052540 375832578810 450999094572 563748868215 751665157620 1127497736430 2254995472860