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12205489248 = 2532409103619
BaseRepresentation
bin10110101111000000…
…01111110001100000
31011111121210002121100
423113200033301200
5144444101123443
65335045554400
7611314642521
oct132740176140
934447702540
1012205489248
1151a37537a7
122447715a00
1311c68c14b4
1483b02c848
154b68113d3
hex2d780fc60

12205489248 has 72 divisors (see below), whose sum is σ = 34794559800. Its totient is φ = 4058509824.

The previous prime is 12205489223. The next prime is 12205489277. The reversal of 12205489248 is 84298450221.

12205489248 is a `hidden beast` number, since 12 + 2 + 0 + 548 + 92 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65983 + ... + 169601.

It is an arithmetic number, because the mean of its divisors is an integer number (483257775).

Almost surely, 212205489248 is an apocalyptic number.

12205489248 is a gapful number since it is divisible by the number (18) 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 12205489248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17397279900).

12205489248 is an abundant number, since it is smaller than the sum of its proper divisors (22589070552).

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

12205489248 is a wasteful number, since it uses less digits than its factorization.

12205489248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104044 (or 104033 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 12205489248 in words is "twelve billion, two hundred five million, four hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 409 818 1227 1636 2454 3272 3681 4908 6544 7362 9816 13088 14724 19632 29448 39264 58896 103619 117792 207238 310857 414476 621714 828952 932571 1243428 1657904 1865142 2486856 3315808 3730284 4973712 7460568 9947424 14921136 29842272 42380171 84760342 127140513 169520684 254281026 339041368 381421539 508562052 678082736 762843078 1017124104 1356165472 1525686156 2034248208 3051372312 4068496416 6102744624 12205489248