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12962514432 = 29372324353
BaseRepresentation
bin11000001001010000…
…00100011000000000
31020110101020221221010
430010220010120000
5203021400430212
65542131400520
7636136361160
oct140450043000
936411227833
1012962514432
115552001a4a
122619153140
1312b76a87aa
148ad7ac5a0
1550ceea03c
hex304a04600

12962514432 has 480 divisors, whose sum is σ = 43012747008. Its totient is φ = 3394879488.

The previous prime is 12962514431. The next prime is 12962514463. The reversal of 12962514432 is 23441526921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12962514431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244575718 + ... + 244575770.

Almost surely, 212962514432 is an apocalyptic number.

12962514432 is a gapful number since it is divisible by the number (12) 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 12962514432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506373504).

12962514432 is an abundant number, since it is smaller than the sum of its proper divisors (30050232576).

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

12962514432 is an equidigital number, since it uses as much as digits as its factorization.

12962514432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 131 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 12962514432 in words is "twelve billion, nine hundred sixty-two million, five hundred fourteen thousand, four hundred thirty-two".