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12006210496 = 267223166457
BaseRepresentation
bin10110010111010000…
…00011101111000000
31010222201210200112211
423023220003233000
5144042042213441
65303210431504
7603345051100
oct131350035700
933881720484
1012006210496
115101213715
1223b0a32594
13119452a587
1481c797200
154a409aa81
hex2cba03bc0

12006210496 has 84 divisors (see below), whose sum is σ = 28919747088. Its totient is φ = 4921771008.

The previous prime is 12006210493. The next prime is 12006210497. The reversal of 12006210496 is 69401260021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12006210493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11101 + ... + 155356.

Almost surely, 212006210496 is an apocalyptic number.

12006210496 is a gapful number since it is divisible by the number (16) 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 12006210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459873544).

12006210496 is an abundant number, since it is smaller than the sum of its proper divisors (16913536592).

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

12006210496 is a wasteful number, since it uses less digits than its factorization.

12006210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166506 (or 166489 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 12006210496 in words is "twelve billion, six million, two hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 368 392 448 644 736 784 1127 1288 1472 1568 2254 2576 3136 4508 5152 9016 10304 18032 36064 72128 166457 332914 665828 1165199 1331656 2330398 2663312 3828511 4660796 5326624 7657022 8156393 9321592 10653248 15314044 16312786 18643184 26799577 30628088 32625572 37286368 53599154 61256176 65251144 74572736 107198308 122512352 130502288 187597039 214396616 245024704 261004576 375194078 428793232 522009152 750388156 857586464 1500776312 1715172928 3001552624 6003105248 12006210496