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12480634651000 = 2353137275333091
BaseRepresentation
bin1011010110011101111111…
…0010111000000101111000
31122012010200212222011021211
42311213133302320011320
53113440314432313000
642313305134412504
72425460522103415
oct265473762700570
948163625864254
1012480634651000
113a82009988a3a
1214969b7361134
136c6bc37a1569
143120ccd2310c
151699b389c7ba
hexb59dfcb8178

12480634651000 has 128 divisors (see below), whose sum is σ = 29429433034560. Its totient is φ = 4953864192000.

The previous prime is 12480634650919. The next prime is 12480634651003. The reversal of 12480634651000 is 15643608421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12480634651003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377144455 + ... + 377177545.

Almost surely, 212480634651000 is an apocalyptic number.

12480634651000 is a gapful number since it is divisible by the number (10) 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 12480634651000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714716517280).

12480634651000 is an abundant number, since it is smaller than the sum of its proper divisors (16948798383560).

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

12480634651000 is a wasteful number, since it uses less digits than its factorization.

12480634651000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36002 (or 35988 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 12480634651000 in words is "twelve trillion, four hundred eighty billion, six hundred thirty-four million, six hundred fifty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 137 200 250 274 500 548 685 1000 1096 1370 2740 2753 3425 5480 5506 6850 11012 13700 13765 17125 22024 27400 27530 33091 34250 55060 66182 68500 68825 110120 132364 137000 137650 165455 264728 275300 330910 344125 377161 550600 661820 688250 754322 827275 1323640 1376500 1508644 1654550 1885805 2753000 3017288 3309100 3771610 4136375 4533467 6618200 7543220 8272750 9066934 9429025 15086440 16545500 18133868 18858050 22667335 33091000 36267736 37716100 45334670 47145125 75432200 90669340 91099523 94290250 113336675 181338680 182199046 188580500 226673350 364398092 377161000 453346700 455497615 566683375 728796184 906693400 910995230 1133366750 1821990460 2266733500 2277488075 3643980920 4533467000 4554976150 9109952300 11387440375 12480634651 18219904600 22774880750 24961269302 45549761500 49922538604 62403173255 91099523000 99845077208 124806346510 249612693020 312015866275 499225386040 624031732550 1248063465100 1560079331375 2496126930200 3120158662750 6240317325500 12480634651000