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12530996478 = 232721113731361
BaseRepresentation
bin10111010101110011…
…11101010011111110
31012100022021120120200
423222321331103332
5201130413341403
65431234424330
7622346466300
oct135271752376
935308246520
1012530996478
11535046a140
1225187320a6
131249180320
1486c361970
154d51acca3
hex2eae7d4fe

12530996478 has 288 divisors, whose sum is σ = 37640689632. Its totient is φ = 2961100800.

The previous prime is 12530996473. The next prime is 12530996479. The reversal of 12530996478 is 87469903521.

12530996478 is a `hidden beast` number, since 12 + 530 + 9 + 96 + 4 + 7 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12530996473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9206518 + ... + 9207878.

It is an arithmetic number, because the mean of its divisors is an integer number (130696839).

It is a 1-persistent number, because it is pandigital, but 2⋅12530996478 = 25061992956 is not.

Almost surely, 212530996478 is an apocalyptic number.

12530996478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12530996478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18820344816).

12530996478 is an abundant number, since it is smaller than the sum of its proper divisors (25109693154).

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

12530996478 is a wasteful number, since it uses less digits than its factorization.

12530996478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 12530996478 in words is "twelve billion, five hundred thirty million, nine hundred ninety-six thousand, four hundred seventy-eight".