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12006652434 = 2379722712983
BaseRepresentation
bin10110010111010011…
…01111101000010010
31010222202122010202220
423023221233220102
5144042200334214
65303224121510
7603351601410
oct131351575022
933882563686
1012006652434
115101495757
1223b1006296
13119465378a
1481c8702b0
154a41369a9
hex2cba6fa12

12006652434 has 64 divisors (see below), whose sum is σ = 27850991616. Its totient is φ = 3379889664.

The previous prime is 12006652433. The next prime is 12006652457. The reversal of 12006652434 is 43425660021.

It is a junction number, because it is equal to n+sod(n) for n = 12006652395 and 12006652404.

It is not an unprimeable number, because it can be changed into a prime (12006652433) 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, 918307 + ... + 931289.

It is an arithmetic number, because the mean of its divisors is an integer number (435171744).

Almost surely, 212006652434 is an apocalyptic number.

12006652434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12006652434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925495808).

12006652434 is an abundant number, since it is smaller than the sum of its proper divisors (15844339182).

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

12006652434 is a wasteful number, since it uses less digits than its factorization.

12006652434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319.

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 12006652434 in words is "twelve billion, six million, six hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 97 194 227 291 454 582 679 681 1358 1362 1589 2037 3178 4074 4767 9534 12983 22019 25966 38949 44038 66057 77898 90881 132114 154133 181762 272643 308266 462399 545286 924798 1259351 2518702 2947141 3778053 5894282 7556106 8815457 8841423 17630914 17682846 20629987 26446371 41259974 52892742 61889961 123779922 285872677 571745354 857618031 1715236062 2001108739 4002217478 6003326217 12006652434