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12462561040 = 245236773131
BaseRepresentation
bin10111001101101001…
…11001011100010000
31012011112111200210211
423212310321130100
5201010403423130
65420351533504
7620556010126
oct134664713420
935145450724
1012462561040
115315877626
1224b982a294
131237c3b997
14863229916
154ce190a2a
hex2e6d39710

12462561040 has 40 divisors (see below), whose sum is σ = 30235261248. Its totient is φ = 4768283520.

The previous prime is 12462561029. The next prime is 12462561047. The reversal of 12462561040 is 4016526421.

It is a happy number.

12462561040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12462560993 and 12462561011.

It is not an unprimeable number, because it can be changed into a prime (12462561047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3384726 + ... + 3388405.

Almost surely, 212462561040 is an apocalyptic number.

12462561040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12462561040 is an abundant number, since it is smaller than the sum of its proper divisors (17772700208).

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

12462561040 is a wasteful number, since it uses less digits than its factorization.

12462561040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773167 (or 6773161 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 12462561040 in words is "twelve billion, four hundred sixty-two million, five hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 6773131 13546262 27092524 33865655 54185048 67731310 108370096 135462620 155782013 270925240 311564026 541850480 623128052 778910065 1246256104 1557820130 2492512208 3115640260 6231280520 12462561040