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12845756300 = 22521319874973
BaseRepresentation
bin10111111011010101…
…01010111110001100
31020011020120000212212
423331222222332030
5202302003200200
65522401045552
7633221061356
oct137552527614
936136500785
1012845756300
1154a2104923
1225a60268b8
131299448340
1489c0980d6
15502b35035
hex2fdaaaf8c

12845756300 has 72 divisors (see below), whose sum is σ = 30040691856. Its totient is φ = 4739708160.

The previous prime is 12845756281. The next prime is 12845756351. The reversal of 12845756300 is 365754821.

It is a super-3 number, since 3×128457563003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580614 + ... + 2585586.

Almost surely, 212845756300 is an apocalyptic number.

12845756300 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 12845756300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020345928).

12845756300 is an abundant number, since it is smaller than the sum of its proper divisors (17194935556).

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

12845756300 is a wasteful number, since it uses less digits than its factorization.

12845756300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 12845756300 in words is "twelve billion, eight hundred forty-five million, seven hundred fifty-six thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1987 3974 4973 7948 9935 9946 19870 19892 24865 25831 39740 49675 49730 51662 64649 99350 99460 103324 124325 129155 129298 198700 248650 258310 258596 323245 497300 516620 645775 646490 1291550 1292980 1616225 2583100 3232450 6464900 9881351 19762702 39525404 49406755 98813510 128457563 197627020 247033775 256915126 494067550 513830252 642287815 988135100 1284575630 2569151260 3211439075 6422878150 12845756300